Ricerca | Research

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last updated: February 2020

Pre-pubblicazioni - Preprints     pdf    Fontana, Marco; Houston, Evan; Park, Mi Hee: Idempotence and divisoriality in Prüfer-like domains, in  "Advances in Rings, Modules and Factorizations",  Proceedings of the Graz Conference,  Austria, February 19-23, 2018, Springer Proceedings in Mathematics & Statistics, Editors: A. Facchini, M. Fontana, A. Geroldinger  and B. Olberding, Springer, 2020 A. Facchini, M. Fontana, A. Geroldinger  and B. Olberding (Editors):  "Advances in Rings, Modules and Factorizations",  Proceedings of the Graz Conference,  Austria, February 19-23, 2018, Springer Proceedings in Mathematics & Statistics,  Springer, 2020   pdf  Fontana, Marco; Zafrullah, Muhammad: $t$-local domains and valuation domains, in "Advances in Commutative Algebra" volume dedicated to David F. Anderson Editors: Badawi, Ayman, Coykendall, Jim, Trends in Mathematics, Birkhäuser 2019, pp. 33-62.    pdf   Fontana, Marco; Houston, Evan; Park, Mi Hee: Sharpness and semistar operations in Prüfer-like domains   Comm.  AlgebraVolume 47, 2019 - Issue 4,  https://doi.org/10.1080/00927872.2018.1508580 "Rings, Polynomials, and Modules" Fontana, Marco; Frisch, Sophie; Glaz, Sarah; Tartarone, Francesca; Zanardo, Paolo (Editors), Springer International Publishing 2017. Book homepage by Springer  pdf     pdf*   Finocchiaro, Carmelo; Fontana, Marco; Spirito, Dario: The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications, Rocky Mountain Journal of Mathematics 48, Number 5 (2018), 1551--1583.    pdf      pdf*    Finocchiaro, Carmelo; Fontana, Marco; Spirito, Dario: Topological properties of semigroup primes of a commutative ring, Beiträge zur Algebra und Geometrie 58(3) (2017), 453--476.

Pubblicazioni recenti - Recent Publications

pdf       pdf*   Finocchiaro, Carmelo; Fontana, Marco; Spirito, Dario: A topological version of Hilbert Nullstellensatz, J. Algebra 461 (2016), 25--41.   pdf       pdf*   Finocchiaro, Carmelo; Fontana, Marco; Spirito, Dario: Spectral spaces of semistar operations, Journal of Pure and Applied Algebra 220 (8)(2016), 2897--2913.   pdf       pdf*     El Baghdadi, Said; Fontana, Marco, and Zafrullah, Muhammad, Intersections of quotient rings and Pruefer v-multiplication domains,  Journal of Algebra and its Applications 15(8) (2016), 1650149 (18 pages). "Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Perspectives", S. Chapman, M. Fontana, A. Geroldinger, and B. Olberding, Editors,  Springer Verlag Publisher 2016 book homepage at Springer  zip    pdf      pdf*   Finocchiaro, Carmelo; Fontana, Marco; Spirito, Dario: New distinguished classes of spectral spaces: A survey, in "Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Perspectives", S. Chapman, M. Fontana, A. Geroldinger, and B. Olberding, Editors,  Springer Verlag Publisher, 2016.   pdf     zip   D'Anna, Marco; Finocchiaro, Carmelo; Fontana, Marco:  New algebraic properties of an amalgamated algebra along an ideal, Comm. Algebra 44[05], (2016) 1836--1851.    pdf     pdf*    D'Anna, Marco; Finocchiaro, Carmelo; Fontana, Marco:  Corrigendum to "New algebraic properties of an amalgamated algebra along an ideal", Comm. Algebra 45 (2017), NO. 9, 3703–3705. * Fontana Marco; Zafrullah Muhammad: Studying monoids is not enough to study multiplicative properties of rings: an elementary approach. Arabian J. Math. 4 (2015) 29-34,  DOI 10.1007/s40065-014-0118-1 Fontana Marco, Frisch Sophie, Glaz Sarah, Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials and Polynomial Functions",  (Proceedings of the Graz Conference) Springer 2014, VIII, 375 p. 20 illus.  book homepage at Springer    *  Finocchiaro, Carmelo A.; Fontana, Marco; Loper, K. Alan: Some closure operations in Zariski-Riemann spaces of valuation domains: a survey, in "Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials and Polynomial Functions" (Proceedings of the Graz Conference) Springer 2014.   Cahen Paul-Jean, Fontana Marco, Frisch Sophie, Glaz Sarah, Open Problems in Commutative Ring Theory,  in "Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials and Polynomial Functions" (Proceedings of the Graz Conference) Springer 2014.   Chang, Gyu Whan; Fontana, Marco; Park, Mi Hee: Polynomial extensions of semistar operations, J. Algebra 390 (2013) 250-263; http://dx.doi.org/10.1016/j.jalgebra.2013.05.020  Fontana, Marco; Houston, Evan G.; Lucas, Tom: Factoring ideals in integral domains,  UMI Lecture Notes in Mathematics (Springer) 2013, VIII, 164 pp.  book homepage at Springer  zip     Finocchiaro, Carmelo A.; Fontana, Marco; Loper, K. Alan: Ultrafilter and constructible topologies on spaces of valuation domains, Comm. Algebra 41 (2013), 1825-1835; DOI: 10.1080/00927872.2011.651760    *  Finocchiaro, Carmelo A.; Fontana, Marco; Loper, K. Alan: The constructible topology on spaces of valuation domains, Trans. Am. Math. Soc. 365 (2013), 6199-6216.   Fontana, Marco; Picozza, Giampaolo: On some classes of integral domains defined by Krull's a.b. operation, J. Algebra 341 (2011), 179-197; DOI 10.1016/j.jalgebra.2011.05.03.    Chang, Gyu Whan; Fontana, Marco:  An overring-theoretic approach to polynomial extensions of star and semistar operations, Comm. Algebra 39 (2011), 1956-1978; DOI 10.1080/00927872.2010.480959. * Finocchiaro, Carmelo A.; Fontana, Marco: Some applications of the ultrafilter topology on spaces of valuation domains, Part 2, Actes des rencontres du CIRM, Vol. 2, no 2 (2010), 111-114, Soc. Math. France, Marseille. * Finocchiaro, Carmelo A.; Fontana, Marco: Some applications of the ultrafilter topology on spaces of valuation domains, Part 1, Actes des rencontres du CIRM, Vol. 2, no 2 (2010), 107-109, Soc. Math. France, Marseille.     Fontana, Marco; Zafrullah, Muhammad: On v-domains: a survey, in "Commutative Algebra: Noetherian and non-Noetherian Perspectives" (M. Fontana, S. Kabbaj, B. Olberding, and I. Swanson Editors), 145-179, Springer, New York, 2011. *** "Commutative Algebra: Noetherian and non-Noetherian Perspectives" (M. Fontana, S. Kabbaj, B. Olberding, and I. Swanson Editors), Springer, New York, 2011.     book homepage at Springer      Fontana, Marco; Loper, K. Alan; Matsuda, Ry\^{u}ki: Cancellation properties in ideal systems: an  e.a.b. not  a.b. star operation, AJSE(Arabian Journal for Science and Engineering)--Mathematics 35(2010), 45-49.      D'Anna, Marco; Finocchiaro, Carmelo; Fontana, Marco: Properties of chains of prime ideals in anamalgamated algebra along an ideal, J. Pure Appl. Algebra 214 (2010), 1633-1641.       Fontana, Marco; Houston, Evan G.; Lucas, Tom:  Toward a classification of prime ideals in Prüfer domains, Forum Math. 22 (2010), 741-766, DOI 10.1515. Pubblicazioni antecedenti l'anno 2010 - Papers published before year 2010   *  Fontana, Marco; Zafrullah, Muhammad: A ''$v$-operation free'' approach to Pr\"ufer $v$-multiplication domains, Int. J. Math. Math. Sci. (2009), Article ID 349010, 8 pages, doi:10.1155/2009/349010, Hindawi Publishing Corporation.       Fontana, Marco; Loper, K. Alan: Cancellation properties in ideal systems: a classification of e.a.b. semistar operations, J. Pure Appl. Algebra 213 (2009), 2095-2103.       D'Anna, Marco; Finocchiaro, Carmelo; Fontana, Marco: Amalgamated algebras along an ideal, in "Commutative Algebra and Applications", Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, 2008, W. de Gruyter Publisher, Berlin 2009, pp. 155-172. *** "Commutative Algebra and Applications", Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, June 23-28, 2008 Edited by Fontana, Marco; Kabbaj, Salah-Eddine; Olberding, Bruce; Swanson, Irena Berlin, New York (Walter de Gruyter) 2009 eBook ISBN: 978-3-11-021318-8  Print ISBN: 978-3-11-020746-0        Anderson, David F.;  Anderson, D.D.; Fontana, Marco; Zafrullah, Muhammad: On v-domains and star operations, Comm. Algebra 37 (2009), 3018–3043.    Chang, Gyu Whan; Fontana, Marco: Uppers to zero in polynomial rings and Prüfer-like domains,Comm. Algebra 37 (2009), 164-192.       Anderson, David F.;  Fontana, Marco; Zafrullah, Muhammad: Some remarks on Prüfer *-multiplication domains and class groups, J. Algebra 319 (2008) 272–295.       Fontana, Marco; Loper, K. Alan: The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring, Comm. Algebra 36 (2008) 2917-2922.    Chang, Gyu Whan; Fontana, Marco: Uppers to zero and semistar operations in polynomial rings, J. Algebra 318 (2007), 484–-493 (MR2363145 (2008j:13045), Reviewer: Giampaolo Picozza) 13F05 (13A15).     Fontana, Marco; Houston, Evan G.; Lucas, Tom: Factoring Ideals in Prüfer Domains, J. Pure Appl. Algebra 211 (2007), 1--13 (MR2333758 (2008m:13039), Reviewer: David E. Rush) 13F05 (13A15 13F15).     D'Anna, Marco; Fontana, Marco:  The amalgamated duplication of a ring along a multiplicative-canonical ideal, Arkiv Mat. 45 (2007), 241--252. DOI 10.1007/s11512-006-0038-1 (MR2342602 (2008g:13003), Reviewer: Siamak Yassemi) 13A15.       D'Anna, Marco; Fontana, Marco:  An amalgamated duplication of a ring along an ideal: basic properties, J. Algebra Appl. 6 (2007), 443--459 (MR2337762 (2008i:13002), Reviewer: Sarah Glaz) 13A15 (13B99).    Fontana, Marco; Loper, K. Alan:  A generalization of Kronecker function rings and Nagata rings, Forum Math. 19 (2007), 971--1004 (MR2367951 (2008i:13032), Reviewer: R. K. Markanda) 13F05 (13A15 13A18).        Fontana, Marco; Loper, K. Alan:    An historical overview of Kronecker function rings, Nagata rings and related star and semistar operations,  in  "Multiplicative Ideal Theory in Commutative Algebra: A tribute to the work of Robert Gilmer", Jim Brewer, Sarah Glaz, William Heinzer, and Bruce Olberding Editors, Springer 2006. ISBN 978-0-387-24600-0. (MR2265808 (2007i:13022), Reviewer: Ry\=uki Matsuda) 13F05 (13A15).                   Fontana, Marco; Picozza, Giampaolo: Prüfer *-multiplication domains and *-coherence, Ricerche di Matematica, 55 (2006), 145--170.  (MR2248168, Reviewer: Bruce Olberding) 13F05.       Dobbs, David E.; Fontana, Marco: On inverse limits of Bézout domains,  in Proceedings of "2004 Conference on Abelian Groups, Rings, Modules, and Homological Algebra" in honor of the 72nd birthday of Ed Enochs (Pat Goeters, Auburn University, Alabama, USA and Overtoun M.G. Jenda Auburn University, Alabama, USA, Editors), Lecture Notes in Pure and Applied Mathematics, Volume 249, 2006, Chapman & Hall/CRC. (MR2229102, Reviewer: Francois Couchot) 13F05.                       Fontana, Marco; Park, Mi Hee:   On the star class group of a pullback J. Algebra  292 (2005), 516--539. (MR2172165 (2006h:13025), Reviewer: David F. Anderson) 13C20 (13A15 13G05).      Fontana, Marco; Picozza, Giampaolo:  Semistar invertibility on integral domains  Algebra Colloquium 12 (2005) 645--664. (MR2183514 (2006h:13002), Reviewer: Gyu Whan Chang) 13A15 (13G05).       Fontana, Marco; Houston, Evan G.; Lucas, Tom:  Integral domains whose simple overrings are intersections of localizations J. Algebra Appl. (JAA), 4 (2005), 195-209. (MR2139266 (2006c:13035), Reviewer: David F. Anderson) 13G05 (13A15 13F05).      El Baghdadi, Said; Fontana, Marco:  Semistar linkedness and flatness. Prüfer semistar multiplication domains. Comm. Algebra, 32 (2004), 1101-1126. (MR2063800 (2006a:13003), Reviewer: Bruce Olberding) 13A15 (13A18).      El Baghdadi, Said; Fontana, Marco; Picozza, Giampaolo:  Semistar Dedekind domains.  J. Pure Appl. Algebra 193 (2004), 27-60. (MR2076377, Reviewer: Muhammad Zafrullah) 13F05 13A15.      Fontana, Marco; Park, Mi Hee: Semistar operations and pullbacks.  J. Algebra, 274 (2004), 387-421. (MR2040880 (2004m:13007), Reviewer: Ry\=uki Matsuda) 13A15.      Fontana, Marco; Jara, Pascual; Santos, Eva:  Local-global properties of semistar operation. Comm. Algebra, 32 (2004), 3111- 3137. (MR2102170, Reviewer: Andrew J. Hetzel) 13A15 13F05 13G05.      Fontana, Marco; Kabbaj, Salah-Eddine:  Essential domains and two conjectures in dimension theory. Proc. Am. Math. Soc., 132 (2004), 2529-2535. (MR2054776 (2005c:13009), Reviewer: Samir Bouchiba) 13C15 13F20.      Fontana, Marco; Loper, K. Alan:  Nagata rings, Kronecker function rings and related semistar operations. Comm. Algebra, 31 (2003), 4775-4805. 13G05 (MR1998028 (2004e:13034); Reviewer: Ry\=uki Matsuda) 13G05.      Dobbs, David E.; Fontana, Marco; Picavet, Gabriel:  Generalized going-down homomorphisms of commutative rings. Commutative Ring Theory and Applications, Proceedings of the Fez Conference 2001. Lecture Notes in Pure and Appl. Math., 232, 143--164, Dekker, New York, 2003. (MR2029824 (2004j:13012) Reviewer: L.J. Ratliff) 13B24 (13A15). *** Commutative Ring Theory and Applications, Edited by Marco Fontana, Salah-Eddine Kabbaj, Sylvia M. Wiegand. Proceedings of the Fourth International Conference, Fez 2001. Lecture Notes in Pure and Appl. Math., 232, 143--164, Dekker, New York, 2003. (MR2029811 (2004h:13002)) 13-06.   *  Fontana, Marco; Jara, Pascual; Santos, Eva:  Pruefer *-multiplication domains and semistar operations. J. Algebra Appl. 2 (2003), 21--50. (MR1964763 (2004b:13021); Reviewer: Daniel D. Anderson) 13F05 13A15      Fontana, Marco; Popescu, Nicolae:  Universal property of the Kaplansky ideal transform and affineness of open subsets. J. Pure Appl. Algebra 173 (2002), no. 2, 121--134. (MR1915091 (2003i: 13001); Reviewer Evan G. Houston) 13A15 (13G05) (2003i:13001) 13A15 13G05    Fontana, Marco; Papick, Ira:  Dedekind and Prüfer domains, in the "Concise Handbook of Algebra" 165-169, A.V. Mikhalev, G.F. Pilz, Eds., Kluwer Academic Publishers, 2002.   Dobbs, David E.; Fontana, Marco; Picavet, Gabriel:  A spectral construction of a treed domain that is not going-down. Ann. Math. Blaise Pascal 9 (2002), no. 1,1--7. (MR1914258 (2003e: 13008); Reviewer J.-P. Lafon) 13B02 (13F05)      Fontana, Marco; Popescu, Nicolae:  Nagata Transform and Localizing Systems. Comm. Algebra 30 (2002), no. 5,2297--2308. (MR1904638 (MR 2003f: 13001); Reviewer Evan G. Houston) 13A15     Fontana, Marco; Huckaba, James A.: Localizing systems and semistar operations. Non-Noetherian commutative ring theory, 169--197, Math. Appl., 520, Kluwer Acad. Publ., Dordrecht, 2000. (MR1858162 (2002k: 13001); Reviewer: Ryuki Matsuda) 13A15     Fontana, Marco; Loper, K. Alan: Kronecker function rings: a general approach. Ideal theoretic methods in commutative algebra (Columbia, MO, 1999), 189--205, Lecture Notes in Pure and Appl. Math., 220, Dekker, New York, 2001. (MR1836601 (2002h: 13029); Reviewer: David E. Dobbs) 13F05 (13A15 13B22 13G05)      Fontana, Marco; Houston, Evan: On integral domains whose overrings are Kaplansky ideal transforms. J. Pure Appl. Algebra 163 (2001), no. 2, 173--192. (MR1846660 (MR 2002g: 13003); Reviewer: Gabriel Picavet) 13A15 (13B22 13F05)     Fontana, Marco; Loper, K. Alan: A Krull-type theorem for the semistar integral closure of an integral domain. Commutative algebra. AJSE, Arab. J. Sci. Eng. Sect. C Theme Issues 26 (2001), no. 1, 89--95. (MR1843459 (2002e: 13019)). 13B22 *** Commutative Algebra. Edited by Marco Fontana, Evan G. Houston and Salah-Eddine Kabbaj. AJSE, Arab. J. Sci. Eng. Sect. C Theme Issues 26 (2001), no. 1.King Fahd University of Petroleum and Minerals, Dhahran, 2001, pp. iii—viii and 1—198. (MR1845737) 13-06   Dobbs, David E.; Fontana, Marco: Inverse limits of integral domains arising from iterated Nagata composition. Math. Scand. 88 (2001), no. 1, 17—40. (MR1813518(2001i: 13032); Reviewer: David F. Anderson) 13G05 (13A15).

Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah-Eddine; Tartarone, Francesca: Polynomial closure in essential domains and pullbacks. Advances in commutative ring theory (Fez, 1997), 307--321, Lecture Notes in Pure and Appl. Math., 205, Dekker, New York, 1999. (MR 2001g 13045; Reviewer: Jean-Luc Chabert) 13F20 (13A15 13F05)     Fontana, Marco: Kaplansky ideal transform: a survey. Advances in commutative ring theory (Fez, 1997), 271--306, Lecture Notes in Pure and Appl. Math., 205, Dekker, New York, 1999. (MR 2001d 13001; Reviewer: David F. Anderson) 13A15 (13B30 13C11 13G05) *** Advances in commutative ring theory. Proceedings of the 3rd International Conference on Commutative Ring Theory held at the University of Fez, Fez, 1997. Edited by David E. Dobbs, Marco Fontana and Salah-Eddine Kabbaj. Lecture Notes in Pure and Applied Mathematics, 205. Marcel Dekker, Inc., New York, 1999. xii+555 pp. ISBN: 0-8247-7147-8 13-06 (MR 2001b: 13002) *  Dobbs, David E.; Fontana, Marco: Lifting trees of prime ideals to Bezout extension domains.Comm. Algebra 27 (1999), no. 12, 6243--6252. Corrigendum: Comm. Algebra 28 (2000), no. 3, 1655--1656. (MR1742681 (2001c:13003); Reviewer: Daniel D. Anderson). 13A15 13B24.    *  Fontana, Marco; Gabelli, Stefania; Houston, Evan: UMT-domains and domains with Prüfer integral closure. Comm. Algebra 26 (1998), no. 4, 1017--1039. (Reviewer: J. W. Brewer) 13F05     Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah-Eddine; Tartarone, Francesca; On the Krull dimension of domains of integer-valued polynomials. Exposition. Math. 15 (1997), no. 5, 433--465. (Reviewer: Jean-Luc Chabert) 13F20 (13C15)     *  Fontana, Marco; Gabelli, Stefania: Prüfer domains with class group generated by the classes of the invertible maximal ideals. Comm. Algebra 25 (1997), no. 12, 3993--4008. (Reviewer: Jean-Luc Chabert)       Fontana, Marco; Huckaba, James A.; Papick, Ira J. Prüfer domains. Monographs and Textbooks in Pure and Applied Mathematics, 203. Marcel Dekker, Inc., New York, 1997. x+328 pp. ISBN: 0-8247-9816-3 (Reviewer: Evan G. Houston)       Barucci, Valentina; Dobbs, David E.; Fontana, Marco Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains. Mem. Amer. Math. Soc. 125 (1997), no. 598, x+78 pp. (Reviewer: Ralf Fröberg).         Fontana, Marco; Popescu, Nicolae On a class of domains having Prüfer integral closure: the FQR-domains. Commutative ring theory (Fès, 1995), 303--312, Lecture Notes in Pure and Appl. Math., 185, Dekker, New York, 1997. (Reviewer: J. W. Brewer). *** Commutative ring theory. Proceedings of the 2nd International Conference held in Fès, June 5--10, 1995. Edited by Paul-Jean Cahen, Marco Fontana, Evan Houston and Salah-Eddine Kabbaj. Lecture Notes in Pure and Applied Mathematics, 185. Marcel Dekker, Inc., New York, 1997.  * Fontana, Marco; Gabelli, Stefania: On the class group and the local class group of a pullback. J. Algebra 181 (1996), no. 3, 803--835. (Reviewer: Muhammad Zafrullah)       *  Ameziane Hassani, Souâd; Fontana, Marco; Kabbaj, Salah-Eddine: Group rings $R[G]$ with $3$-generated ideals when $R$ is Artinian. Comm. Algebra 24 (1996), no. 4, 1253--1280. (Reviewer: R. A. Wiegand)     *   Fontana, Marco; Popescu, Nicolae: Sur une classe d'anneaux de Prüfer avec groupe de classes de torsion. (French) [A class of Prüfer rings with torsion class group] Comm. Algebra 23 (1995), no. 12, 4521--4533. (Reviewer: C. P. L. Rhodes)     *   Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah-Eddine: Sur quelques propriétés des sous-anneaux de la forme D+I d'un anneau intègre. (French) [Some properties of subrings of the form $D+I$ of an integral domain] Comm. Algebra 23 (1995), no. 11, 4189--4210. (Reviewer: Daniel D. Anderson).  Anderson, David F.; Dobbs, David E.; Fontana, Marco On the nonuniversality of weak normalization. Zero-dimensional commutative rings (Knoxville, TN, 1994), 143--154, Lecture Notes in Pure and Appl. Math., 171, Dekker, New York, 1995. (Reviewer: Vinod Kumar Grover) (Lecture Notes in Pure and Applied Mathematics) David F. Anderson, David Dobbs-Zero-dimensional commutative rings Proceedings of the 1994 John H. Barrett Memorial Lectures.     * Fontana, Marco; Popescu, Nicolae: Sur une classe d'anneaux qui généralisent les anneaux de Dedekind. (French) [A class of rings that generalize Dedekind rings] J. Algebra 173 (1995), no. 1, 44--66. (Reviewer: David E. Dobbs).    *   Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah: Quelques propriétés des chaînes d'idéaux dans les anneaux $A+XB[X]$. (French) [Some properties of chains of ideals in the rings $A+XB[X]$] Comm. Algebra 22 (1994), no. 1, 9--27. (Reviewer: Daniel D. Anderson)         Barucci, Valentina; Dobbs, David E.; Fontana, Marco Maximality properties in numerical semigroups, with applications to one-dimensional analytically irreducible local domains. Commutative ring theory (Fès, 1992), 13--25, Lecture Notes in Pure and Appl. Math., 153, Dekker, New York, 1994. (Reviewer: Sarah Glaz).     Fontana, M.; Izelgue, L.; Kabbaj, S. Krull and valuative dimensions of the $A+XB[X]$ rings. Commutative ring theory (Fès, 1992), 111--130, Lecture Notes in Pure and Appl. Math., 153, Dekker, New York, 1994. (Reviewer: Muhammad Zafrullah). *** Commutative ring theory. Proceedings of the International Conference held in Fès, April 20--24, 1992. Edited by Paul-Jean Cahen, Douglas L. Costa, Marco Fontana and Salah-Eddine Kabbaj. Lecture Notes in Pure and Applied Mathematics, 153. Marcel Dekker, Inc., New York, 1994. x+256 pp. ISBN    * Fontana, Marco; Huckaba, James A.; Papick, Ira J.; Roitman, Moshe Prüfer domains and endomorphism rings of their ideals. J. Algebra 157 (1993), no. 2, 489--516. (Reviewer: Daniel D. Anderson)     * Anderson, David F.; Dobbs, David E.; Fontana, Marco Hilbert rings arising as pullbacks. Canad. Math. Bull. 35 (1992), no. 4, 431--438. (Reviewer: Salah-Eddine Kabbaj)     * Anderson, David F.; Dobbs, David E.; Fontana, Marco; Khalis, Mohammed Catenarity of formal power series rings over a pullback. J. Pure Appl. Algebra 78 (1992), no. 2, 109--122. (Reviewer: J. W. Brewer)     * Fontana, Marco; Pappalardi, Francesco: The prime spaces as spectral spaces. Ann. Mat. Pura Appl. (4) 160 (1991), 331--345 (1992). (Reviewer: C. P. L. Rhodes)     * Anderson, D. F.; Dobbs, D. E.; Fontana, M.: Characterizing Kronecker function rings. Ann. Univ. Ferrara Sez. VII (N.S.) 36 (1990), 1--13 (1991). (Reviewer: Daniel D. Anderson)    * Dobbs, David E.; Fontana, Marco: Integral overrings of two-dimensional going-down domains. Proc. Amer. Math. Soc. 115 (1992), no. 3, 655--662. (Reviewer: Ira J. Papick)     * Dobbs, David E.; Fontana, Marco: Universally catenarian domains of D+M type. II. Internat. J. Math. Math. Sci. 14 (1991), no. 2, 209--214. (Reviewer: Salah-Eddine Kabbaj)     Anderson, David F.; Dobbs, David E.; Fontana, Marco Notes on N-dimension sequences. Math. Japon. 36 (1991), no. 1, 121--125. (Reviewer: Johnny A. Johnson).     * Dobbs, David E.; Fontana, Marco; Kabbaj, Salah Direct limits of Jaffard domains and S-domains. Comment. Math. Univ. St. Paul. 39 (1990), no. 2, 143--155. (Reviewer: Ira J. Papick)     *  Dobbs, David E.; Barucci, Valentina; Fontana, Marco: Gorenstein conducive domains. Comm. Algebra 18 (1990), no. 11, 3889--3903. (Reviewer: Ralf Fröberg)     * Dobbs, David E.; Fontana, Marco Some results on the weak normalization of an integral domain. Math. J. Okayama Univ. 31 (1989), 9--23. (Reviewer: Evan G. Houston)     * Fontana, Marco; Kabbaj, Salah On the Krull and valuative dimension of D+XD\sb S domains. J. Pure Appl. Algebra 63 (1990), no. 3, 231--245. (Reviewer: Alain Bouvier)     * Anderson, David F.; Dobbs, David E.; Fontana, Marco On treed Nagata rings. J. Pure Appl. Algebra 61 (1989), no. 2, 107--122. (Reviewer: J. W. Brewer).    * Bouvier, Alain; Dobbs, David E.; Fontana, Marco Universally catenarian integral domains. Adv. in Math. 72 (1988), no. 2, 211--238. (Reviewer: David F. Anderson). * Dobbs, David E.; Fedder, Richard; Fontana, Marco G-domains and spectral spaces. J. Pure Appl. Algebra 51 (1988), no. 1-2, 89--110. (Reviewer: W. Heinzer).     * Dobbs, David E.; Fedder, Richard; Fontana, Marco: Abstract Riemann surfaces of integral domains and spectral spaces. Ann. Mat. Pura Appl. (4) 148 (1987), 101--115. (Reviewer: Chin-Pi Lu).  * Dobbs, David E.; Fontana, Marco Sur les suites dimensionnelles et une classe d'anneaux distingués qui les déterminent. (French) [On dimension sequences and a class of distinguished rings that determines them] C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), no. 1, 11--16. (Reviewer: James A. Huckaba).    * Dobbs, David E.; Fontana, Marco  Seminormal rings generated by algebraic integers. Mathematika 34 (1987), no. 2, 141--154. (Reviewer: W. Narkiewicz). Anderson, David F.; Bouvier, Alain; Dobbs, David E.; Fontana, Marco; Kabbaj, Salah On Jaffard domains. Exposition. Math. 6 (1988), no. 2, 145--175. (Reviewer: J. W. Brewer).    * Fontana, Marco; Huckaba, James A.; Papick, Ira J. Domains satisfying the trace property. J. Algebra 107 (1987), no. 1, 169--182. (Reviewer: Nick H. Vaughan).     Anderson, David F.; Dobbs, David E.; Fontana, Marco When is a Bezout domain a Kronecker function ring? C. R. Math. Rep. Acad. Sci. Canada 9 (1987), no. 1, 25--30. (Reviewer: Nick H. Vaughan).     *   Bouvier, Alain; Dobbs, David E.; Fontana, Marco: Two sufficient conditions for universal catenarity. Comm. Algebra 15 (1987), no. 4, 861--872. (Reviewer: David E. Dobbs). Bouvier, Alain; Fontana, Marco The catenarian property of the polynomial rings over a Prüfer domain.Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin, 36ème année (Paris, 1983--1984), 340--354, Lecture Notes in Math. 146, Springer, Berlin-New York, 1985.     * Dobbs, David E.; Fontana, Marco Kronecker function rings and abstract Riemann surfaces. J. Algebra 99 (1986), no. 1, 263--274. (Reviewer: Ira J. Papick).     * Barucci, Valentina; Dobbs, David E.; Fontana, Marco: Conducive integral domains as pullbacks. Manuscripta Math. 54 (1986), no. 3, 261--277. (Reviewer: Anne Grams).     * Fontana, Marco; Huckaba, James A.; Papick, Ira J. Some properties of divisorial prime ideals in Prüfer domains. J. Pure Appl. Algebra 39 (1986), no. 1-2, 95--103. (Reviewer: David F. Anderson).    pdf*     Dobbs, David E.; Fontana, Marco Going-up, direct limits and universality. Comment. Math. Univ. St. Paul. 33 (1984), no. 2, 191--196. (Reviewer: Ira J. Papick).  * Fontana, Marco; Huckaba, James A.; Papick, Ira J. Divisorial prime ideals in Prüfer domains. Canad. Math. Bull. 27 (1984), no. 3, 324--328. (Reviewer: J. L. Mott).     * Dobbs, David E.; Fontana, Marco: Locally pseudovaluation domains. Ann. Mat. Pura Appl. (4) 134 (1983), 147--168. (Reviewer: Evan G. Houston).     * Dobbs, David E.; Fontana, Marco Universally going-down homomorphisms of commutative rings. J. Algebra 90 (1984), no. 2, 410--429. (Reviewer: Stephen McAdam).     * Dobbs, David E.; Fontana, Marco: Universally going-down integral domains. Arch. Math. (Basel) 42 (1984), no. 5, 426--429. (Reviewer: Stephen McAdam).     * Dobbs, David E.; Fontana, Marco: Universally incomparable ring-homomorphisms. Bull. Austral. Math. Soc. 29 (1984), no. 3, 289--302. (Reviewer: Stephen McAdam).     * Fontana, Marco; Viswanathan, T. M.: Analogues of a theorem of Cohen for overrings. J. Pure Appl. Algebra 29 (1983), no. 3, 285--296. (Reviewer: Ira J. Papick).  * Fontana, Marco Sur quelques classes d'anneaux divisés. (French) [On some classes of divided rings] Rend. Sem. Mat. Fis. Milano 51 (1981), 179--200 (1983). (Reviewer: James A. Huckaba).  * Dobbs, David E.; Fontana, Marco; Papick, Ira J. Direct limits and going-down. Comment. Math. Univ. St. Paul. 31 (1982), no. 2, 129--135. (Reviewer: Johnny A. Johnson).     Bouvier, Alain; Fontana, Marco On the catenarian property of the polynomial rings over a Prüfer domain. C. R. Math. Rep. Acad. Sci. Canada 5 (1983), no. 2, 97--100. (Reviewer: Daniel D. Anderson).  Dobbs, David E.; Fontana, Marco Pseudovaluation domains and their globalizations. Commutative algebra (Trento, 1981), pp. 65--77, Lecture Notes in Pure and Appl. Math., 84, Dekker, New York, 1983. (Reviewer: Evan G. Houston).     Dobbs, David E.; Fontana, Marco; Papick, Ira J. On the flat spectral topology. Rend. Mat. (7) 1 (1981), no. 4, 559--578. (Reviewer: Sylvia Wiegand).  * Dobbs, David E.; Fontana, Marco; Papick, Ira J. On certain distinguished spectral sets. Ann. Mat. Pura Appl. (4) 128 (1981), 227--240. (Reviewer: Sylvia Wiegand).     Dobbs, David E.; Fontana, Marco; Huckaba, James A.; Papick, Ira J. Strong ring extensions and pseudovaluation domains. Houston J. Math. 8 (1982), no. 2, 167--184. (Reviewer: L. J. Ratliff, Jr.).  * Barucci, Valentina; Fontana, Marco When are D+{\germ M} rings Laskerian? Rend. Circ. Mat. Palermo (2) 31 (1982), no. 1, 125--136. (Reviewer: Kwangil Koh).     * Dobbs, David E.; Fontana, Marco Classes of commutative rings characterized by going-up and going-down behavior. Rend. Sem. Mat. Univ. Padova 66 (1982), 113--127. (Reviewer: L. J. Ratliff, Jr.)     Fontana, Marco Quelques nouveaux résultats sur une classe d'espaces spectraux. (French) Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 67 (1979), no. 3-4, 157--161 (1980).  Bouvier, Alain; Fontana, Marco Une classe d'espaces spectraux de dimension 1; les espaces principaux. (French) Bull. Sci. Math. (2) 105 (1981), no. 2, 159--167. (Reviewer: Jean Marot)     Fontana, Marco On some problems relating to spectral sets. (Italian) Rend. Sem. Fac. Sci. Univ. Cagliari 49 (1979), no. 3-4, 445--467. (Reviewer: Melvin Henriksen)  *   Fontana, Marco Topologically defined classes of commutative rings. Ann. Mat. Pura Appl. (4) 123 (1980), 331--355. (Reviewer: Ira J. Papick)     Fontana, Marco Absolutely flat Baer rings. Boll. Un. Mat. Ital. B (5) 16 (1979), no. 2, 566--583. (Reviewer: R. Raphael). Fontana, Marco; Maroscia, Paolo Sur les anneaux de Goldman. (French) Boll. Un. Mat. Ital. B (5) 13 (1976), no. 3, 743--759. (Reviewer: Douglas L. Costa). * Fontana, Marco; Mazzola, Guerino Arithmétique fonctoriellle des topologies de Grothendieck. (French) Ann. Univ. Ferrara Sez. VII (N.S.) 22 (1976), 49--94 (1977).  Fontana, Marco; Maroscia, Paolo Sul grafo di alcune classi di applicazioni razionali. Collection in memory of Enrico Bompiani. Boll. Un. Mat. Ital. (4) 12 (1975), no. 3, suppl., 86--97. (Reviewer: Jean Giraud)    *   Fontana, Marco Sur le plongement projectif des surfaces définies sur un corps de base fini. (French) Compositio Math. 31 (1975), no. 1, 1--22. (Reviewer: Allen B. Altman)     Fontana, Marco; Mazzola, Guerino Arithmétique fonctorielle. Rend. Mat. (6) 8 (1975), no. 3, 730--768. (Reviewer: Marta C. Bunge).