Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications. (English) Zbl 1444.54001 Rocky Mt. J. Math. 48, No. 5, 1551-1583 (2018). Reviewer: Othman Echi (Dhahran) MSC: 54A10 54F65 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Rocky Mt. J. Math. 48, No. 5, 1551--1583 (2018; Zbl 1444.54001) Full Text: DOI arXiv Euclid
Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario Topological properties of semigroup primes of a commutative ring. (English) Zbl 1393.13004 Beitr. Algebra Geom. 58, No. 3, 453-476 (2017). Reviewer: Pedro A. García Sánchez (Granada) MSC: 13A15 13G05 13F05 54A05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Beitr. Algebra Geom. 58, No. 3, 453--476 (2017; Zbl 1393.13004) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario New distinguished classes of spectral spaces: a survey. (English) Zbl 1353.13004 Chapman, Scott (ed.) et al., Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting ‘Arithmetic and ideal theory of rings and semigroups’, Graz, Austria, September 22–26, 2014. Cham: Springer (ISBN 978-3-319-38853-3/hbk; 978-3-319-38855-7/ebook). Springer Proceedings in Mathematics & Statistics 170, 117-143 (2016). MSC: 13A15 13G05 13B10 13E99 13C11 14A05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Springer Proc. Math. Stat. 170, 117--143 (2016; Zbl 1353.13004) Full Text: DOI arXiv
D’Anna, Marco; Finocchiaro, Carmelo A.; Fontana, Marco New algebraic properties of an amalgamated algebra along an ideal. (English) Zbl 1345.13002 Commun. Algebra 44, No. 5, 1836-1851 (2016); corrigendum ibid. 45, No. 9, 3703-3705 (2017). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13A15 13B99 14A05 13C14 13H10 PDFBibTeX XMLCite \textit{M. D'Anna} et al., Commun. Algebra 44, No. 5, 1836--1851 (2016; Zbl 1345.13002) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Spirito, Dario Spectral spaces of semistar operations. (English) Zbl 1341.13003 J. Pure Appl. Algebra 220, No. 8, 2897-2913 (2016). Reviewer: Qiao Lei (Chengdu) MSC: 13A15 13G05 13B10 13E99 13C11 14A05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., J. Pure Appl. Algebra 220, No. 8, 2897--2913 (2016; Zbl 1341.13003) Full Text: DOI arXiv
Finocchiaro, Carmelo Antonio; Fontana, Marco; Loper, K. Alan Some closure operations in Zariski-Riemann spaces of valuation domains: a survey. (English) Zbl 1327.13016 Fontana, Marco (ed.) et al., Commutative algebra. Recent advances in commutative rings, integer-valued polynomials, and polynomial functions. Based on mini-courses and a conference on commutative rings, integer-valued polynomials and polynomial functions, Graz, Austria, December 16–18 and December 19–22, 2012. New York, NY: Springer (ISBN 978-1-4939-0924-7/hbk; 978-1-4939-0925-4/ebook). 153-173 (2014). MSC: 13A18 13F05 13G05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., in: Commutative algebra. Recent advances in commutative rings, integer-valued polynomials, and polynomial functions. Based on mini-courses and a conference on commutative rings, integer-valued polynomials and polynomial functions, Graz, Austria, December 16--18 and December 19--22, 2012. New York, NY: Springer. 153--173 (2014; Zbl 1327.13016) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Loper, K. Alan The constructible topology on spaces of valuation domains. (English) Zbl 1297.13007 Trans. Am. Math. Soc. 365, No. 12, 6199-6216 (2013). Reviewer: Giulio Peruginelli (Padova) MSC: 13A18 13F05 13G05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Trans. Am. Math. Soc. 365, No. 12, 6199--6216 (2013; Zbl 1297.13007) Full Text: DOI arXiv
Finocchiaro, Carmelo A.; Fontana, Marco; Loper, K. Alan Ultrafilter and constructible topologies on spaces of valuation domains. (English) Zbl 1310.13006 Commun. Algebra 41, No. 5, 1825-1835 (2013). Reviewer: Raheleh Jafari (Tehran) MSC: 13A18 13F05 13G05 PDFBibTeX XMLCite \textit{C. A. Finocchiaro} et al., Commun. Algebra 41, No. 5, 1825--1835 (2013; Zbl 1310.13006) Full Text: DOI arXiv
Fontana, Marco; Picozza, Giampaolo On some classes of integral domains defined by Krull’s \(a.b.\) operations. (English) Zbl 1239.13003 J. Algebra 341, No. 1, 179-197 (2011). Reviewer: Hamid Kulosman (Louisville) MSC: 13A15 13G05 13F30 13E99 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{G. Picozza}, J. Algebra 341, No. 1, 179--197 (2011; Zbl 1239.13003) Full Text: DOI arXiv
Fontana, Marco; Houston, Evan; Lucas, Thomas G. Toward a classification of prime ideals in Prüfer domains. (English) Zbl 1200.13033 Forum Math. 22, No. 4, 741-766 (2010). Reviewer: Parviz Sahandi (Tabriz) MSC: 13F05 13A15 PDFBibTeX XMLCite \textit{M. Fontana} et al., Forum Math. 22, No. 4, 741--766 (2010; Zbl 1200.13033) Full Text: DOI arXiv
D’Anna, Marco; Finocchiaro, Carmelo A.; Fontana, Marco Properties of chains of prime ideals in an amalgamated algebra along an ideal. (English) Zbl 1191.13006 J. Pure Appl. Algebra 214, No. 9, 1633-1641 (2010). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13A15 13B99 14A05 PDFBibTeX XMLCite \textit{M. D'Anna} et al., J. Pure Appl. Algebra 214, No. 9, 1633--1641 (2010; Zbl 1191.13006) Full Text: DOI arXiv
Chang, Gyu Whan; Fontana, Marco Uppers to zero in polynomial rings and Prüfer-like domains. (English) Zbl 1165.13008 Commun. Algebra 37, No. 1, 164-192 (2009). Reviewer: A. Mimouni (Dhahran) MSC: 13F05 13A15 13G05 13B25 PDFBibTeX XMLCite \textit{G. W. Chang} and \textit{M. Fontana}, Commun. Algebra 37, No. 1, 164--192 (2009; Zbl 1165.13008) Full Text: DOI arXiv
D’Anna, Marco; Fontana, Marco An amalgamated duplication of a ring along an ideal: the basic properties. (English) Zbl 1126.13002 J. Algebra Appl. 6, No. 3, 443-459 (2007). Reviewer: Moshe Roitman (Haifa) MSC: 13A15 13B99 14A05 PDFBibTeX XMLCite \textit{M. D'Anna} and \textit{M. Fontana}, J. Algebra Appl. 6, No. 3, 443--459 (2007; Zbl 1126.13002) Full Text: DOI arXiv
Fontana, Marco; Park, Mi Hee On the star class group of a pullback. (English) Zbl 1104.13007 J. Algebra 292, No. 2, 516-539 (2005). MSC: 13C20 13A15 13G05 13B22 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{M. H. Park}, J. Algebra 292, No. 2, 516--539 (2005; Zbl 1104.13007) Full Text: DOI arXiv
El Baghdadi, Said; Fontana, Marco Semistar linkedness and flatness, Prüfer semistar multiplication domains. (English) Zbl 1120.13016 Commun. Algebra 32, No. 3, 1101-1126 (2004). Reviewer: Franz Halter-Koch (Graz) MSC: 13F05 13A15 13G05 PDFBibTeX XMLCite \textit{S. El Baghdadi} and \textit{M. Fontana}, Commun. Algebra 32, No. 3, 1101--1126 (2004; Zbl 1120.13016) Full Text: DOI arXiv
El Baghdadi, S.; Fontana, Marco; Picozza, Giampaolo Semistar Dedekind domains. (English) Zbl 1081.13003 J. Pure Appl. Algebra 193, No. 1-3, 27-60 (2004). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13B22 13A15 13F05 13G05 PDFBibTeX XMLCite \textit{S. El Baghdadi} et al., J. Pure Appl. Algebra 193, No. 1--3, 27--60 (2004; Zbl 1081.13003) Full Text: DOI arXiv
Fontana, Marco; Park, Mi Hee Star operations and pullbacks. (English) Zbl 1064.13003 J. Algebra 274, No. 1, 387-421 (2004). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13A15 13G05 13B24 13B22 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{M. H. Park}, J. Algebra 274, No. 1, 387--421 (2004; Zbl 1064.13003) Full Text: DOI arXiv
Fontana, M.; Jara, P.; Santos, E. Prüfer \(\star\)-multiplication domains and semistar operations. (English) Zbl 1055.13002 J. Algebra Appl. 2, No. 1, 21-50 (2003). MSC: 13A15 13F05 13A18 13F30 PDFBibTeX XMLCite \textit{M. Fontana} et al., J. Algebra Appl. 2, No. 1, 21--50 (2003; Zbl 1055.13002) Full Text: DOI arXiv
Dobbs, David E.; Fontana, Marco; Picavet, Gabriel A spectral construction of a treed domain that is not going-down. (English) Zbl 1089.13502 Ann. Math. Blaise Pascal 9, No. 1, 1-7 (2002). MSC: 13B24 13A15 13G05 06A11 PDFBibTeX XMLCite \textit{D. E. Dobbs} et al., Ann. Math. Blaise Pascal 9, No. 1, 1--7 (2002; Zbl 1089.13502) Full Text: DOI Numdam EuDML
Dobbs, David E.; Fontana, Marco Lifting trees of prime ideals to Bezout extension domains. (English) Zbl 0991.13004 Commun. Algebra 27, No. 12, 6243-6252 (1999); Erratum 28, No. 3, 1655-1656 (2000). Reviewer: Nicolae Manolache (Oldenburg) MSC: 13B24 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Commun. Algebra 27, No. 12, 6243--6252 (1999; Zbl 0991.13004) Full Text: DOI
Fontana, Marco; Gabelli, Stefania; Houston, Evan UMT-domains and domains with Prüfer integral closure. (English) Zbl 0930.13014 Commun. Algebra 26, No. 4, 1017-1039 (1998). Reviewer: Štefan Porubský (Praha) MSC: 13F05 13G05 13B02 13A05 PDFBibTeX XMLCite \textit{M. Fontana} et al., Commun. Algebra 26, No. 4, 1017--1039 (1998; Zbl 0930.13014) Full Text: DOI
Fontana, Marco; Gabelli, Stefania Prüfer domains with class group generated by the classes of the invertible maximal ideals. (English) Zbl 0931.13011 Commun. Algebra 25, No. 12, 3993-4008 (1997). Reviewer: Toma Albu (Bucuresti) MSC: 13F05 13C20 13A15 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{S. Gabelli}, Commun. Algebra 25, No. 12, 3993--4008 (1997; Zbl 0931.13011) Full Text: DOI
Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah-Eddine On some properties of subrings of the form \(D+I\) of an integral domain. (Sur quelques propriétés des sous-anneaux de la forme \(D+I\) d’un anneau intègre.) (French) Zbl 0854.13014 Commun. Algebra 23, No. 11, 4189-4210 (1995). Reviewer: J.Nishimura (Sapporo) MSC: 13G05 13A15 PDFBibTeX XMLCite \textit{M. Fontana} et al., Commun. Algebra 23, No. 11, 4189--4210 (1995; Zbl 0854.13014) Full Text: DOI
Dobbs, David E.; Fontana, Marco Integral overrings of two-dimensional going-down domains. (English) Zbl 0759.13004 Proc. Am. Math. Soc. 115, No. 3, 655-662 (1992). Reviewer: D.F.Anderson (Knoxville) MSC: 13B24 13G05 13F05 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Proc. Am. Math. Soc. 115, No. 3, 655--662 (1992; Zbl 0759.13004) Full Text: DOI
Anderson, David F.; Dobbs, David E.; Fontana, Marco; Khalis, Mohammed Catenarity of formal power series rings over a pullback. (English) Zbl 0771.13011 J. Pure Appl. Algebra 78, No. 2, 109-122 (1992). Reviewer: N.Sankaran (Chandigarh) MSC: 13F25 13E15 12F15 PDFBibTeX XMLCite \textit{D. F. Anderson} et al., J. Pure Appl. Algebra 78, No. 2, 109--122 (1992; Zbl 0771.13011) Full Text: DOI
Fontana, Marco; Pappalardi, Francesco The prime spaces as spectral spaces. (English) Zbl 0760.13003 Ann. Mat. Pura Appl., IV. Ser. 160, 331-345 (1991). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 13A18 14A05 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{F. Pappalardi}, Ann. Mat. Pura Appl. (4) 160, 331--345 (1991; Zbl 0760.13003) Full Text: DOI
Dobbs, David E.; Barucci, Valentina; Fontana, Marco Gorenstein conducive domains. (English) Zbl 0741.13013 Commun. Algebra 18, No. 11, 3889-3903 (1990). Reviewer: M.Miller (Columbia) MSC: 13H10 13G05 PDFBibTeX XMLCite \textit{D. E. Dobbs} et al., Commun. Algebra 18, No. 11, 3889--3903 (1990; Zbl 0741.13013) Full Text: DOI
Fontana, Marco; Kabbaj, Salah On the Krull and valuative dimension of \(D+XD_ S[X]\) domains. (English) Zbl 0698.13003 J. Pure Appl. Algebra 63, No. 3, 231-245 (1990). Reviewer: A.K.Boyle MSC: 13C15 13G05 13F20 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{S. Kabbaj}, J. Pure Appl. Algebra 63, No. 3, 231--245 (1990; Zbl 0698.13003) Full Text: DOI
Anderson, David F.; Dobbs, David E.; Fontana, Marco On treed Nagata rings. (English) Zbl 0691.13005 J. Pure Appl. Algebra 61, No. 2, 107-122 (1989). Reviewer: T.Albu MSC: 13E99 13B30 13F05 13G05 PDFBibTeX XMLCite \textit{D. F. Anderson} et al., J. Pure Appl. Algebra 61, No. 2, 107--122 (1989; Zbl 0691.13005) Full Text: DOI
Bouvier, Alain; Dobbs, David E.; Fontana, Marco Universally catenarian integral domains. (English) Zbl 0695.13014 Adv. Math. 72, No. 2, 211-238 (1988). Reviewer: W.Heinzer MSC: 13E99 13A15 13F20 13G05 PDFBibTeX XMLCite \textit{A. Bouvier} et al., Adv. Math. 72, No. 2, 211--238 (1988; Zbl 0695.13014) Full Text: DOI
Dobbs, David E.; Fedder, Richard; Fontana, Marco G-domains and spectral spaces. (English) Zbl 0654.13022 J. Pure Appl. Algebra 51, No. 1-2, 89-110 (1988). Reviewer: H.-J.Kowalsky MSC: 13G05 13B30 54B35 13E10 PDFBibTeX XMLCite \textit{D. E. Dobbs} et al., J. Pure Appl. Algebra 51, No. 1--2, 89--110 (1988; Zbl 0654.13022) Full Text: DOI
Dobbs, David E.; Fedder, Richard; Fontana, Marco Abstract Riemann surfaces of integral domains and spectral spaces. (English) Zbl 0646.13008 Ann. Mat. Pura Appl., IV. Ser. 148, 101-115 (1987). Reviewer: D.Ştefănescu MSC: 13F99 12J20 13G05 13A18 14A05 PDFBibTeX XMLCite \textit{D. E. Dobbs} et al., Ann. Mat. Pura Appl. (4) 148, 101--115 (1987; Zbl 0646.13008) Full Text: DOI
Bouvier, Alain; Dobbs, David E.; Fontana, Marco Two sufficient conditions for universal catenarity. (English) Zbl 0638.13015 Commun. Algebra 15, 861-872 (1987). Reviewer: W.Heinzer MSC: 13E99 13A15 13D05 PDFBibTeX XMLCite \textit{A. Bouvier} et al., Commun. Algebra 15, 861--872 (1987; Zbl 0638.13015) Full Text: DOI
Dobbs, David E.; Fontana, Marco Seminormal rings generated by algebraic integers. (English) Zbl 0619.13002 Mathematika 34, No. 2, 141-154 (1987). MSC: 13A99 11R11 16H05 11R06 11R52 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Mathematika 34, No. 2, 141--154 (1987; Zbl 0619.13002) Full Text: DOI
Fontana, Marco; Huckaba, James A.; Papick, Ira J. Domains satisfying the trace property. (English) Zbl 0612.13010 J. Algebra 107, 169-182 (1987). Reviewer: D.D.Anderson MSC: 13G05 13A15 PDFBibTeX XMLCite \textit{M. Fontana} et al., J. Algebra 107, 169--182 (1987; Zbl 0612.13010) Full Text: DOI
Dobbs, David E.; Fontana, Marco Kronecker function rings and abstract Riemann surfaces. (English) Zbl 0597.13004 J. Algebra 99, 263-274 (1986). Reviewer: Ira J. Papick (Columbia) MSC: 13A15 14A05 13F05 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, J. Algebra 99, 263--274 (1986; Zbl 0597.13004) Full Text: DOI
Fontana, Marco; Huckaba, James A.; Papick, Ira J. Some properties of divisorial prime ideals in Prüfer domains. (English) Zbl 0578.13002 J. Pure Appl. Algebra 39, 95-103 (1986). Reviewer: N.Sankaran MSC: 13A05 13F05 13A15 PDFBibTeX XMLCite \textit{M. Fontana} et al., J. Pure Appl. Algebra 39, 95--103 (1986; Zbl 0578.13002) Full Text: DOI
Barucci, Valentina; Dobbs, David E.; Fontana, Marco Conducive integral domains as pullbacks. (English) Zbl 0585.13013 Manuscr. Math. 54, 261-277 (1985). Reviewer: M.Golasiński MSC: 13G05 13B02 13E05 PDFBibTeX XMLCite \textit{V. Barucci} et al., Manuscr. Math. 54, 261--277 (1985; Zbl 0585.13013) Full Text: DOI EuDML
Dobbs, David E.; Fontana, Marco Universally going-down homomorphisms of commutative rings. (English) Zbl 0544.13004 J. Algebra 90, 410-429 (1984). MSC: 13B02 14A05 13A15 13G05 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, J. Algebra 90, 410--429 (1984; Zbl 0544.13004) Full Text: DOI
Dobbs, David E.; Fontana, Marco Universally incomparable ring-homomorphisms. (English) Zbl 0535.13006 Bull. Aust. Math. Soc. 29, 289-302 (1984). MSC: 13B02 13F05 13A15 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Bull. Aust. Math. Soc. 29, 289--302 (1984; Zbl 0535.13006) Full Text: DOI
Dobbs, David E.; Fontana, Marco Locally pseudo-valuation domains. (English) Zbl 0531.13012 Ann. Mat. Pura Appl., IV. Ser. 134, 147-168 (1983). MSC: 13F99 13G05 13F05 13A15 13B02 13E05 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Ann. Mat. Pura Appl. (4) 134, 147--168 (1983; Zbl 0531.13012) Full Text: DOI
Fontana, Marco; Viswanathan, T. M. Analogues of a theorem of Cohen for overrings. (English) Zbl 0516.13004 J. Pure Appl. Algebra 29, 285-296 (1983). MSC: 13B02 13E15 13A18 PDFBibTeX XMLCite \textit{M. Fontana} and \textit{T. M. Viswanathan}, J. Pure Appl. Algebra 29, 285--296 (1983; Zbl 0516.13004) Full Text: DOI
Barucci, Valentina; Fontana, Marco When are D+M rings Laskerian? (English) Zbl 0492.13002 Rend. Circ. Mat. Palermo, II. Ser. 31, 125-136 (1982). MSC: 13A15 13B02 13E05 PDFBibTeX XMLCite \textit{V. Barucci} and \textit{M. Fontana}, Rend. Circ. Mat. Palermo (2) 31, 125--136 (1982; Zbl 0492.13002) Full Text: DOI
Dobbs, David E.; Fontana, Marco Classes of commutative rings characterized by going-up and goingdown behavior. (English) Zbl 0483.13001 Rend. Sem. Mat. Univ. Padova 66, 113-127 (1982). MSC: 13A15 13B02 14A05 54B35 PDFBibTeX XMLCite \textit{D. E. Dobbs} and \textit{M. Fontana}, Rend. Semin. Mat. Univ. Padova 66, 113--127 (1982; Zbl 0483.13001) Full Text: Numdam EuDML
Fontana, Marco Sur quelques classes d’anneaux divises. (French) Zbl 0512.13007 Rend. Sem. Mat. Fis. Milano 51, 179-200 (1981). MSC: 13C15 13A18 13F20 13A15 13G05 13E05 PDFBibTeX XMLCite \textit{M. Fontana}, Rend. Semin. Mat. Fis. Milano 51, 179--200 (1981; Zbl 0512.13007) Full Text: DOI
Dobbs, David E.; Fontana, Marco; Papick, Ira J. On certain distinguished spectral sets. (English) Zbl 0472.54021 Ann. Mat. Pura Appl., IV. Ser. 128, 227-240 (1981). MSC: 54F05 13A15 PDFBibTeX XMLCite \textit{D. E. Dobbs} et al., Ann. Mat. Pura Appl. (4) 128, 227--240 (1981; Zbl 0472.54021) Full Text: DOI