Edit Profile (opens in new tab) Facchini, Alberto Compute Distance To: Compute Author ID: facchini.alberto Published as: Facchini, Alberto; Facchini, A. Homepage: http://www.math.unipd.it/~facchini External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 143 Publications since 1979, including 4 Books 7 Contributions as Editor Reviewing Activity: 9 Reviews Co-Authors: 76 Co-Authors with 104 Joint Publications 1,076 Co-Co-Authors all top 5 Co-Authors 46 single-authored 8 Herbera, Dolors 8 Nazemian, Zahra 6 Příhoda, Pavel 5 Arroyo Paniagua, María José 5 Gran, Marino 4 Alahmadi, Adel N. 4 Amini, Afshin 4 Amini, Babak 4 Campanini, Federico 4 Finocchiaro, Carmelo Antonio 3 Heidari Zadeh, Leila 3 Janelidze, George 3 Leroy, André Gérard 3 Mai Hoang Bien 3 Puninski, Gennadi 2 Altun-Özarslan, Meltem 2 Busqué, Claudi 2 Camps, Rosa 2 Diracca, Luca 2 Ecevit, Şule 2 Fassina, Martino 2 Girardi, Nicola 2 Koşan, Muhammet Tamer 2 Levy, Lawrence S. 2 Nguyen Viet Dung 2 Perone, Marco 2 Sakhajev, Iskhak 2 Salce, Luigi 2 Tung, Nguyen Khanh 2 Vámos, Peter 2 Wiegand, Roger Allen 1 Albrecht, Ulrich F. 1 Ara, Pere 1 Azumaya, Goro 1 Barioli, Francesco 1 Bosi, Alessandro Andrea 1 Bourn, Dominique 1 Clementino, Maria Manuel 1 Corisello, Roberta 1 Cortés-Izurdiaga, Manuel 1 Dougherty, Steven T. 1 El-Deken, Susan F. 1 Ercolanoni, Sofia 1 Faith, Carl C. 1 Fernández-Alonso, Rogelio 1 Fontana, Marco 1 Fuller, Kent R. 1 Geroldinger, Alfred 1 Gregory, Lorna 1 Halter-Koch, Franz 1 Hassler, Wolfgang 1 Houston, Evan G. jun. 1 Klingler, Lee C. 1 L’Innocente, Sonia 1 Lolli, Gabriele 1 Lucchini, Andrea 1 Menini, Claudia 1 Moradzadeh-Dehkordi, Ali 1 Olberding, Bruce M. 1 Pagliuca, Francesco 1 Parolin, Catia 1 Parolin, Jennifer 1 Pompili, Mara 1 Puczyłowski, Edmund Ryszard 1 Raggi Cardenas, Francisco Federico 1 Ringel, Claus Michael 1 Ríos Montes, José 1 Rodaro, Emanuele 1 Şahinkaya, Serap 1 Santa-Clara, Catarina 1 Simonetta, Giulia 1 Smertnig, Daniel 1 Solé, Patrick 1 Tolooei, Yaser 1 Tressl, Marcus 1 Zanardo, Paolo all top 5 Serials 15 Communications in Algebra 14 Journal of Algebra 12 Journal of Pure and Applied Algebra 9 Rendiconti del Seminario Matematico della Università di Padova 6 Journal of Algebra and its Applications 5 Algebras and Representation Theory 4 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Semigroup Forum 3 Applied Categorical Structures 3 International Electronic Journal of Algebra (IEJA) 2 Linear and Multilinear Algebra 2 Pacific Journal of Mathematics 2 Contemporary Mathematics 2 Progress in Mathematics 1 Acta Universitatis Carolinae. Mathematica et Physica 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Algebra Universalis 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Irish Mathematical Society Bulletin 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 The Electronic Journal of Combinatorics 1 Theory and Applications of Categories 1 Fundamental’naya i Prikladnaya Matematika 1 Communications of the Korean Mathematical Society 1 Journal of the Australian Mathematical Society 1 Algebra and Discrete Mathematics 1 Mediterranean Journal of Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Mathematics and its Applications (Dordrecht) 1 La Matematica nella Società e nella Cultura. Serie I 1 Bulletin of Mathematical Sciences 1 Springer Proceedings in Mathematics & Statistics 1 Advances in Group Theory and Applications 1 Bollettino dell’Unione Matematica Italiana 1 Modern Birkhäuser Classics 1 Coimbra Mathematical Texts all top 5 Fields 115 Associative rings and algebras (16-XX) 38 Commutative algebra (13-XX) 36 Category theory; homological algebra (18-XX) 20 Group theory and generalizations (20-XX) 9 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 3 General algebraic systems (08-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 \(K\)-theory (19-XX) 2 Mathematical logic and foundations (03-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 987 times in 491 Documents Cited by ▼ Year ▼ Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Zbl 0930.16001Facchini, Alberto 120 1998 Krull-Schmidt fails for serial modules. Zbl 0868.16003Facchini, Alberto 55 1996 Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids. Zbl 1016.16002Facchini, Alberto 30 2002 Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014Facchini, Alberto; Herbera, Dolors 28 2006 \(K_0\) of a semilocal ring. Zbl 0955.13006Facchini, Alberto; Herbera, Dolors 24 2000 Modules with chain conditions up to isomorphism. Zbl 1408.16017Facchini, Alberto; Nazemian, Zahra 24 2016 Equivalence of diagonal matrices over local rings. Zbl 1158.16011Amini, Babak; Amini, Afshin; Facchini, Alberto 24 2008 Rings of pure global dimension zero and Mittag-Leffler modules. Zbl 0693.16017Azumaya, Goro; Facchini, Alberto 22 1989 Generalized Dedekind domains and their injective modules. Zbl 0845.13005Facchini, Alberto 20 1994 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1277.16001Facchini, Alberto 19 2012 Krull-Schmidt fails for Artinian modules. Zbl 0847.16013Facchini, Alberto; Herbera, Dolors; Levy, Lawrence S.; Vámos, Peter 19 1995 Automorphism-invariant modules. Zbl 1333.16006Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh 18 2015 Projective modules and divisor homomorphisms. Zbl 1058.16002Facchini, Alberto; Halter-Koch, Franz 15 2003 Krull monoids and their application in module theory. Zbl 1113.20049Facchini, Alberto 15 2006 Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002Facchini, Alberto 15 2019 Projective modules over semilocal rings. Zbl 0981.16003Facchini, Alberto; Herbera, Dolors 15 2000 Artinian dimension and isoradical of modules. Zbl 1401.16004Facchini, Alberto; Nazemian, Zahra 15 2017 Relative injectivity and pure-injective modules over Prüfer rings. Zbl 0629.13008Facchini, Alberto 15 1987 A tilting module over commutative integral domains. Zbl 0629.16020Facchini, Alberto 15 1987 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. Zbl 1273.16007Facchini, Alberto 14 2012 Uniserial modules: Sums and isomorphisms of subquotients. Zbl 0712.16008Facchini, Alberto; Salce, Luigi 14 1990 Divisible modules over integral domains. Zbl 0654.13002Facchini, Alberto 14 1988 Finitely generated flat modules and a characterization of semiperfect rings. Zbl 1032.16003Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 13 2003 Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008Nguyen Viet Dung; Facchini, Alberto 13 1997 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1094.20036Facchini, Alberto; Wiegand, Roger 13 2004 Uniqueness of monogeny classes for uniform objects in abelian categories. Zbl 1006.18010Diracca, Luca; Facchini, Alberto 13 2002 Kernels of morphisms between indecomposable injective modules. Zbl 1210.16003Facchini, Alberto; Ecevit, Şule; Koşan, M. Tamer 13 2010 Maximal ideals in preadditive categories and semilocal categories. Zbl 1220.18008Facchini, Alberto; Perone, Marco 12 2011 Representation of additive categories and direct-sum decompositions of objects. Zbl 1121.18007Facchini, Alberto 12 2007 Loewy and Artinian modules over commutative rings. Zbl 0488.13014Facchini, Alberto 11 1981 Direct summands of serial modules. Zbl 0936.16005Nguyen Viet Dung; Facchini, Alberto 11 1998 Pretorsion theories, stable category and preordered sets. Zbl 1481.18002Facchini, Alberto; Finocchiaro, Carmelo Antonio 11 2020 Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger 11 2006 Couniformly presented modules and dualities. Zbl 1211.16003Facchini, Alberto; Girardi, Nicola 11 2010 Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008Ara, Pere; Facchini, Alberto 11 2006 Discrete valuation domains and ranks of their maximal extensions. Zbl 0608.13010Facchini, A.; Zanardo, P. 10 1986 Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003Facchini, Alberto; Moradzadeh-Dehkordi, Ali 10 2014 Factor categories and infinite direct sums. Zbl 1181.16002Facchini, Alberto; Příhoda, Pavel 10 2009 Injective modules over pullbacks. Zbl 0526.16014Facchini, Alberto; Vámos, Peter 9 1985 Endomorphism rings with finitely many maximal right ideals. Zbl 1237.16002Facchini, Alberto; Příhoda, Pavel 9 2011 The Krull-Schmidt theorem in the case two. Zbl 1259.16004Facchini, Alberto; Příhoda, Pavel 9 2011 Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007Facchini, Alberto; Herbera, Dolors 9 2004 The Prüfer rings that are endomorphism rings of artinian modules. Zbl 0806.16022Camps, Rosa; Facchini, Alberto 8 1994 Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108Campanini, Federico; Facchini, Alberto 8 2019 Homogeneous semilocal rings. Zbl 0996.16013Corisello, Roberta; Facchini, Alberto 8 2001 Elementary matrices and products of idempotents. Zbl 1358.15010Facchini, A.; Leroy, A. 8 2016 Injective modules, spectral categories, and applications. Zbl 1161.16003Facchini, Alberto 8 2008 Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029Facchini, Alberto; Nazemian, Zahra 8 2019 \(\Sigma\)-pure-injective modules over serial rings. Zbl 0843.16003Facchini, Alberto; Puninski, Gennadi 7 1995 Classical localizations in serial rings. Zbl 0887.16019Facchini, Alberto; Puninski, Gennadi 6 1996 Torsion-free covers and pure-injective envelopes over valuation domains. Zbl 0588.13019Facchini, Alberto 6 1985 Pretorsion theories in general categories. Zbl 1457.18009Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 6 2021 A new Galois structure in the category of internal preorders. Zbl 1435.18009Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 5 2020 Cyclically presented modules over rings of finite type. Zbl 1225.16002Amini, Babak; Amini, Afshin; Facchini, Alberto 5 2011 Mittag-Leffler modules, reduced products, and direct products. Zbl 0755.16003Facchini, Alberto 5 1991 Flat modules and lifting of finitely generated projective modules. Zbl 1107.16004Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 5 2005 On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007Facchini, Alberto; Perone, Marco 5 2014 Some remarks on categories of modules modulo morphisms with essential kernel or superfluous image. Zbl 1293.16005Alahmadi, Adel; Facchini, Alberto 5 2013 Rings whose proper factors are right perfect. Zbl 1226.16012Facchini, Alberto; Parolin, Catia 4 2011 Category of \(G\)-groups and its spectral category. Zbl 1394.20032Arroyo Paniagua, María José; Facchini, Alberto 4 2017 On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026Campanini, Federico; Facchini, Alberto 4 2018 Direct sums of infinitely many kernels. Zbl 1231.16002Ecevit, Şule; Facchini, Alberto; Koşan, M. Tamer 4 2010 Factorization of elements in noncommutative rings. II. Zbl 1427.16029Facchini, Alberto; Fassina, Martino 4 2018 FP-injective quotient rings and elementary divisor rings. Zbl 0879.13005Facchini, Alberto; Faith, Carl 4 1997 On isonoetherian and isoartinian modules. Zbl 1423.16004Facchini, Alberto; Nazemian, Zahra 4 2019 Monogeny dimension relative to a fixed uniform module. Zbl 1159.16003Facchini, Alberto; Příhoda, Pavel 4 2008 An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings. Zbl 1430.18002Facchini, Alberto; Heidari Zadeh, Leila 4 2019 Serial rings that are endomorphism rings of Artinian modules. Zbl 0849.16029Camps, Rosa; Facchini, Alberto; Puninski, Gennadi 4 1996 The Krull-Schmidt theorem. Zbl 1079.16002Facchini, Alberto 4 2003 Commutative rings whose finitely embedded modules have injective dimension \(\approx\) 1. Zbl 0542.13006Facchini, Alberto 3 1982 Absolutely pure modules and locally injective modules. Zbl 0810.13007Facchini, Alberto 3 1993 Representations of the category of serial modules of finite Goldie dimension. Zbl 1221.16009Facchini, Alberto; Příhoda, Pavel 3 2008 Mittag-Leffler modules and semi-hereditary rings. Zbl 0865.16004Albrecht, Ulrich; Facchini, Alberto 3 1996 The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 07120001Altun-Özarslan, Meltem; Facchini, Alberto 3 2019 On the structure of torch rings. Zbl 0529.13003Facchini, Alberto 2 1983 Projective covers over local rings. Zbl 07384249Ercolanoni, Sofia; Facchini, Alberto 2 2021 Rings whose finitely generated torsion modules in the sense of Dickson decompose into direct sums of cyclic submodules. Zbl 0469.13005Facchini, Alberto 2 1980 Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. Zbl 1225.16001Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2011 Weak Krull-Schmidt for infinite direct sums of cyclically presented modules over local rings. Zbl 1243.16001Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2009 Modules with only finitely many direct sum decompositions up to isomorphism. Zbl 1069.16003Facchini, Alberto; Herbera, Dolors 2 2003 On a partially ordered set associated to ring morphisms. Zbl 1479.16001Facchini, Alberto; Heidari Zadeh, Leila 2 2019 Pure-injective envelope of a commutative ring and localizations. Zbl 0668.13012Facchini, Alberto 2 1988 A characterization of additive categories with the Krull-Schmidt property. Zbl 1122.18005Facchini, Alberto 2 2006 Factorization of elements in noncommutative rings. I. Zbl 1369.16035Facchini, Alberto; Fassina, Martino 2 2016 Krull-Schmidt theorem and homogeneous semilocal rings. Zbl 0996.16014Barioli, Francesco; Facchini, Alberto; Raggi, Francisco; Ríos, José 2 2001 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030Facchini, Alberto; Lucchini, Andrea 2 2018 Subdirect products of preadditive categories and weak equivalences. Zbl 1142.18006Facchini, Alberto; Fernández-Alonso, Rogelio 2 2008 What is the spectral category? Zbl 1440.18012Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George 2 2020 Homomorphisms with semilocal endomorphism rings between modules. Zbl 1475.16007Campanini, Federico; El-Deken, Susan F.; Facchini, Alberto 2 2020 Fiber products and Morita duality for commutative rings. Zbl 0508.13015Facchini, Alberto 1 1982 Decompositions of algebraically compact modules. Zbl 0523.16019Facchini, Alberto 1 1985 Lattice of submodules and isomorphism of subquotients. Zbl 0563.16019Facchini, Alberto 1 1984 Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Zbl 0830.00031 1 1995 Reflexive rings. Zbl 0429.13005Facchini, Alberto 1 1979 Auslander-Bridger modules. Zbl 1271.16002Facchini, Alberto; Girardi, Nicola 1 2012 Advances in rings, modules and factorizations. Selected papers based on the presentations at the international conference on rings and factorizations, Graz, Austria, February 19–23, 2018. Zbl 1445.13002 1 2020 Serial factorizations of right ideals. Zbl 1427.16001Facchini, Alberto; Nazemian, Zahra 1 2018 Covering classes and uniserial modules. Zbl 1469.16045Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel 1 2021 Abelian categories in which linear algebra is possible. Zbl 0877.18004Busqué, Claudi; Facchini, Alberto 1 1996 Factorizations of elements in local rings and semilocal rings of finite type. Zbl 1482.16030Arroyo Paniagua, María José; Facchini, Alberto; Tolooei, Yaser 1 2020 Pretorsion theories in general categories. Zbl 1457.18009Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 6 2021 Projective covers over local rings. Zbl 07384249Ercolanoni, Sofia; Facchini, Alberto 2 2021 Covering classes and uniserial modules. Zbl 1469.16045Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel 1 2021 Pretorsion theories, stable category and preordered sets. Zbl 1481.18002Facchini, Alberto; Finocchiaro, Carmelo Antonio 11 2020 A new Galois structure in the category of internal preorders. Zbl 1435.18009Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 5 2020 What is the spectral category? Zbl 1440.18012Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George 2 2020 Homomorphisms with semilocal endomorphism rings between modules. Zbl 1475.16007Campanini, Federico; El-Deken, Susan F.; Facchini, Alberto 2 2020 Advances in rings, modules and factorizations. Selected papers based on the presentations at the international conference on rings and factorizations, Graz, Austria, February 19–23, 2018. Zbl 1445.13002 1 2020 Factorizations of elements in local rings and semilocal rings of finite type. Zbl 1482.16030Arroyo Paniagua, María José; Facchini, Alberto; Tolooei, Yaser 1 2020 Relations between endomorphism rings, injectivity, surjectivity and uniserial modules. Zbl 1446.16045Altun-Özarslan, Meltem; Facchini, Alberto 1 2020 Covering classes, strongly flat modules, and completions. Zbl 1475.16015Facchini, Alberto; Nazemian, Zahra 1 2020 Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002Facchini, Alberto 15 2019 Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108Campanini, Federico; Facchini, Alberto 8 2019 Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029Facchini, Alberto; Nazemian, Zahra 8 2019 On isonoetherian and isoartinian modules. Zbl 1423.16004Facchini, Alberto; Nazemian, Zahra 4 2019 An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings. Zbl 1430.18002Facchini, Alberto; Heidari Zadeh, Leila 4 2019 The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 07120001Altun-Özarslan, Meltem; Facchini, Alberto 3 2019 On a partially ordered set associated to ring morphisms. Zbl 1479.16001Facchini, Alberto; Heidari Zadeh, Leila 2 2019 On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026Campanini, Federico; Facchini, Alberto 4 2018 Factorization of elements in noncommutative rings. II. Zbl 1427.16029Facchini, Alberto; Fassina, Martino 4 2018 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030Facchini, Alberto; Lucchini, Andrea 2 2018 Serial factorizations of right ideals. Zbl 1427.16001Facchini, Alberto; Nazemian, Zahra 1 2018 Artinian dimension and isoradical of modules. Zbl 1401.16004Facchini, Alberto; Nazemian, Zahra 15 2017 Category of \(G\)-groups and its spectral category. Zbl 1394.20032Arroyo Paniagua, María José; Facchini, Alberto 4 2017 Modules with chain conditions up to isomorphism. Zbl 1408.16017Facchini, Alberto; Nazemian, Zahra 24 2016 Elementary matrices and products of idempotents. Zbl 1358.15010Facchini, A.; Leroy, A. 8 2016 Factorization of elements in noncommutative rings. I. Zbl 1369.16035Facchini, Alberto; Fassina, Martino 2 2016 \(G\)-groups and biuniform abelian normal subgroups. Zbl 1375.20030Arroyo Paniagua, María José; Facchini, Alberto 1 2016 Automorphism-invariant modules. Zbl 1333.16006Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh 18 2015 From endomorphism rings to some noteworthy ideals in categories of modules. Zbl 1358.16003Facchini, Alberto 1 2015 Noncommutative rings and their applications. International conference on noncommutative rings and their applications, Université d’Artois, Lens, France, July 1–4, 2013. Proceedings. Zbl 1310.16001 1 2015 Direct products of modules whose endomorphism rings have at most two maximal ideals. Zbl 1359.16005Alahmadi, Adel; Facchini, Alberto 1 2015 Loewy modules with finite Loewy invariants and max modules with finite radical invariants. Zbl 1327.16013Facchini, Alberto; Bien, Mai Hoang 1 2015 Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003Facchini, Alberto; Moradzadeh-Dehkordi, Ali 10 2014 On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007Facchini, Alberto; Perone, Marco 5 2014 Maximal ideals of the endomorphism ring of an injective module. Zbl 1309.16002Facchini, Alberto; Bien, Mai Hoang 1 2014 Cyclically presented modules, projective covers and factorizations. Zbl 1296.16001Facchini, Alberto; Smertnig, Daniel; Tung, Nguyen Khanh 1 2014 Some remarks on categories of modules modulo morphisms with essential kernel or superfluous image. Zbl 1293.16005Alahmadi, Adel; Facchini, Alberto 5 2013 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1277.16001Facchini, Alberto 19 2012 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. Zbl 1273.16007Facchini, Alberto 14 2012 Auslander-Bridger modules. Zbl 1271.16002Facchini, Alberto; Girardi, Nicola 1 2012 Maximal ideals in preadditive categories and semilocal categories. Zbl 1220.18008Facchini, Alberto; Perone, Marco 12 2011 Endomorphism rings with finitely many maximal right ideals. Zbl 1237.16002Facchini, Alberto; Příhoda, Pavel 9 2011 The Krull-Schmidt theorem in the case two. Zbl 1259.16004Facchini, Alberto; Příhoda, Pavel 9 2011 Cyclically presented modules over rings of finite type. Zbl 1225.16002Amini, Babak; Amini, Afshin; Facchini, Alberto 5 2011 Rings whose proper factors are right perfect. Zbl 1226.16012Facchini, Alberto; Parolin, Catia 4 2011 Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. Zbl 1225.16001Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2011 Kernels of morphisms between indecomposable injective modules. Zbl 1210.16003Facchini, Alberto; Ecevit, Şule; Koşan, M. Tamer 13 2010 Couniformly presented modules and dualities. Zbl 1211.16003Facchini, Alberto; Girardi, Nicola 11 2010 Direct sums of infinitely many kernels. Zbl 1231.16002Ecevit, Şule; Facchini, Alberto; Koşan, M. Tamer 4 2010 Factor categories and infinite direct sums. Zbl 1181.16002Facchini, Alberto; Příhoda, Pavel 10 2009 Weak Krull-Schmidt for infinite direct sums of cyclically presented modules over local rings. Zbl 1243.16001Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2009 Subdirect representations of categories of modules. Zbl 1196.16002Facchini, Alberto 1 2009 Equivalence of diagonal matrices over local rings. Zbl 1158.16011Amini, Babak; Amini, Afshin; Facchini, Alberto 24 2008 Injective modules, spectral categories, and applications. Zbl 1161.16003Facchini, Alberto 8 2008 Monogeny dimension relative to a fixed uniform module. Zbl 1159.16003Facchini, Alberto; Příhoda, Pavel 4 2008 Representations of the category of serial modules of finite Goldie dimension. Zbl 1221.16009Facchini, Alberto; Příhoda, Pavel 3 2008 Subdirect products of preadditive categories and weak equivalences. Zbl 1142.18006Facchini, Alberto; Fernández-Alonso, Rogelio 2 2008 Representation of additive categories and direct-sum decompositions of objects. Zbl 1121.18007Facchini, Alberto 12 2007 Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014Facchini, Alberto; Herbera, Dolors 28 2006 Krull monoids and their application in module theory. Zbl 1113.20049Facchini, Alberto 15 2006 Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger 11 2006 Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008Ara, Pere; Facchini, Alberto 11 2006 A characterization of additive categories with the Krull-Schmidt property. Zbl 1122.18005Facchini, Alberto 2 2006 Flat modules and lifting of finitely generated projective modules. Zbl 1107.16004Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 5 2005 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1094.20036Facchini, Alberto; Wiegand, Roger 13 2004 Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007Facchini, Alberto; Herbera, Dolors 9 2004 Projective modules and divisor homomorphisms. Zbl 1058.16002Facchini, Alberto; Halter-Koch, Franz 15 2003 Finitely generated flat modules and a characterization of semiperfect rings. Zbl 1032.16003Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 13 2003 The Krull-Schmidt theorem. Zbl 1079.16002Facchini, Alberto 4 2003 Modules with only finitely many direct sum decompositions up to isomorphism. Zbl 1069.16003Facchini, Alberto; Herbera, Dolors 2 2003 Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids. Zbl 1016.16002Facchini, Alberto 30 2002 Uniqueness of monogeny classes for uniform objects in abelian categories. Zbl 1006.18010Diracca, Luca; Facchini, Alberto 13 2002 Homogeneous semilocal rings. Zbl 0996.16013Corisello, Roberta; Facchini, Alberto 8 2001 Krull-Schmidt theorem and homogeneous semilocal rings. Zbl 0996.16014Barioli, Francesco; Facchini, Alberto; Raggi, Francisco; Ríos, José 2 2001 Krull-Schmidt theorem and semilocal endomorphism rings. Zbl 0986.16002Facchini, A. 1 2001 \(K_0\) of a semilocal ring. Zbl 0955.13006Facchini, Alberto; Herbera, Dolors 24 2000 Projective modules over semilocal rings. Zbl 0981.16003Facchini, Alberto; Herbera, Dolors 15 2000 Failure of the Krull-Schmidt theorem for Artinian modules and serial modules. Zbl 0989.16003Facchini, Alberto 1 2000 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Zbl 0930.16001Facchini, Alberto 120 1998 Direct summands of serial modules. Zbl 0936.16005Nguyen Viet Dung; Facchini, Alberto 11 1998 Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008Nguyen Viet Dung; Facchini, Alberto 13 1997 FP-injective quotient rings and elementary divisor rings. Zbl 0879.13005Facchini, Alberto; Faith, Carl 4 1997 Krull-Schmidt fails for serial modules. Zbl 0868.16003Facchini, Alberto 55 1996 Classical localizations in serial rings. Zbl 0887.16019Facchini, Alberto; Puninski, Gennadi 6 1996 Serial rings that are endomorphism rings of Artinian modules. Zbl 0849.16029Camps, Rosa; Facchini, Alberto; Puninski, Gennadi 4 1996 Mittag-Leffler modules and semi-hereditary rings. Zbl 0865.16004Albrecht, Ulrich; Facchini, Alberto 3 1996 Abelian categories in which linear algebra is possible. Zbl 0877.18004Busqué, Claudi; Facchini, Alberto 1 1996 Krull-Schmidt fails for Artinian modules. Zbl 0847.16013Facchini, Alberto; Herbera, Dolors; Levy, Lawrence S.; Vámos, Peter 19 1995 \(\Sigma\)-pure-injective modules over serial rings. Zbl 0843.16003Facchini, Alberto; Puninski, Gennadi 7 1995 Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Zbl 0830.00031 1 1995 Generalized Dedekind domains and their injective modules. Zbl 0845.13005Facchini, Alberto 20 1994 The Prüfer rings that are endomorphism rings of artinian modules. Zbl 0806.16022Camps, Rosa; Facchini, Alberto 8 1994 Absolutely pure modules and locally injective modules. Zbl 0810.13007Facchini, Alberto 3 1993 Mittag-Leffler modules, reduced products, and direct products. Zbl 0755.16003Facchini, Alberto 5 1991 Uniserial modules: Sums and isomorphisms of subquotients. Zbl 0712.16008Facchini, Alberto; Salce, Luigi 14 1990 Rings of pure global dimension zero and Mittag-Leffler modules. Zbl 0693.16017Azumaya, Goro; Facchini, Alberto 22 1989 Divisible modules over integral domains. Zbl 0654.13002Facchini, Alberto 14 1988 Pure-injective envelope of a commutative ring and localizations. Zbl 0668.13012Facchini, Alberto 2 1988 Relative injectivity and pure-injective modules over Prüfer rings. Zbl 0629.13008Facchini, Alberto 15 1987 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 404 Authors 81 Facchini, Alberto 20 Příhoda, Pavel 19 Geroldinger, Alfred 14 Tuganbaev, Askar Akanovich 13 Behboodi, Mahmood 13 Herbera, Dolors 12 Moradzadeh-Dehkordi, Ali 11 Nazemian, Zahra 11 Puninski, Gena 11 Quynh, Truong Cong 9 Bazzoni, Silvana 9 Keskin Tutuncu, Derya 9 Rothmaler, Philipp 8 Abyzov, Adel Nailevich 8 Ara, Pere 8 Baeth, Nicholas R. 8 Couchot, François 8 Koşan, Muhammet Tamer 8 Salce, Luigi 8 Tribak, Rachid 8 Zanardo, Paolo 7 Berktaş, Mustafa Kemal 7 Campanini, Federico 6 Fuchs, László 6 Gran, Marino 6 Guil Asensio, Pedro A. 6 Hassler, Wolfgang 6 Park, Mi Hee 6 Srivastava, Ashish Kumar 6 Trlifaj, Jan jun. 6 Zhong, Qinghai 5 Alagöz, Yusuf 5 Albrecht, Ulrich F. 5 Ebrahimi Atani, Shahabaddin 5 Olberding, Bruce M. 5 Schmid, Wolfgang Alexander 5 Shojaee, Seyed Hossein 5 Wiegand, Roger Allen 4 Alahmadi, Adel N. 4 Amini, Afshin 4 Amini, Babak 4 Angeleri Hügel, Lidia 4 Arroyo Paniagua, María José 4 Büyükasik, Engin 4 Cortés-Izurdiaga, Manuel 4 Dolati Pishhesari, Saboura 4 El-Deken, Susan F. 4 Er, Noyan 4 Ghorbani, Atefeh 4 Grynkiewicz, David J. 4 Ibrahim, Yasser F. 4 Khoramdel, Mehdi 4 Kim, Hwankoo 4 Lam, Tsit-Yuen 4 Mai Hoang Bien 4 Pardo, Enrique 4 Positselski, Leonid Efimovich 4 Smertnig, Daniel 4 Vámos, Peter 4 Yousif, Mohamed F. 3 Abdelwahab, S. M. 3 Altun-Özarslan, Meltem 3 Chaturvedi, Avanish Kumar 3 Chen, Huanyin 3 Crivei, Septimiu 3 Durğun, Yılmaz 3 Faith, Carl C. 3 Girardi, Nicola 3 Gotti, Felix 3 Jain, Surender Kumar 3 Kang, Byung Gyun 3 Kaynarca, Fatma 3 Khalifa, Mohamed 3 Khurana, Dinesh 3 Kourki, Farid 3 Krylov, Pëtr Andreevich 3 Leroy, André Gérard 3 López-Permouth, Sergio Roberto 3 Orhan Ertaş, Nil 3 Perone, Marco 3 Prakash, Surya 3 Prest, Mike 3 Puninskaya, V. A. 3 Puninski, Gennadi 3 Qourchi Nejadi, M. 3 Šťovíček, Jan 3 Wang, Fanggui 3 Zhou, Yiqiang 3 Zhu, Xiaosheng 2 Adarbeh, Khalid 2 Alvarado-García, Alejandro 2 Aydoğdu, Pınar 2 Bennis, Driss 2 Borceux, Francis 2 Breaz, Simion 2 Camps, Rosa 2 Cejudo-Castilla, César 2 Cossu, Laura 2 Daneshvar, Asghar 2 Davvaz, Bijan ...and 304 more Authors all top 5 Cited in 91 Serials 92 Communications in Algebra 78 Journal of Algebra 49 Journal of Pure and Applied Algebra 45 Journal of Algebra and its Applications 18 Rendiconti del Seminario Matematico della Università di Padova 13 Algebras and Representation Theory 10 Proceedings of the American Mathematical Society 9 Journal of Mathematical Sciences (New York) 6 Journal of Commutative Algebra 5 Israel Journal of Mathematics 5 Rocky Mountain Journal of Mathematics 5 Advances in Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Semigroup Forum 5 Applied Categorical Structures 4 Linear and Multilinear Algebra 4 Glasgow Mathematical Journal 4 Quaestiones Mathematicae 4 Transactions of the American Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Archiv der Mathematik 3 Journal für die Reine und Angewandte Mathematik 3 Annals of Pure and Applied Logic 3 Bulletin of the Iranian Mathematical Society 3 Forum Mathematicum 3 Lobachevskii Journal of Mathematics 3 Asian-European Journal of Mathematics 3 Palestine Journal of Mathematics 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Algebra and Logic 2 Algebra Universalis 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Bulletin of the Korean Mathematical Society 2 Revista Matemática Iberoamericana 2 Expositiones Mathematicae 2 Algebra Colloquium 2 Algebra and Discrete Mathematics 2 International Electronic Journal of Algebra (IEJA) 2 Bulletin of Mathematical Sciences 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of Theoretical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Acta Arithmetica 1 Acta Mathematica Vietnamica 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 \(K\)-Theory 1 Journal of Automated Reasoning 1 Publicacions Matemàtiques 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Logic Quarterly (MLQ) 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Vietnam Journal of Mathematics 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications of the Korean Mathematical Society 1 Journal of Mathematical Logic 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 JP Journal of Algebra, Number Theory and Applications 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 European Journal of Pure and Applied Mathematics 1 Journal of \(K\)-Theory 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arabian Journal of Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Categories and General Algebraic Structures with Applications 1 Journal of Algebraic Systems all top 5 Cited in 21 Fields 353 Associative rings and algebras (16-XX) 162 Commutative algebra (13-XX) 71 Category theory; homological algebra (18-XX) 70 Group theory and generalizations (20-XX) 24 Number theory (11-XX) 19 Mathematical logic and foundations (03-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 \(K\)-theory (19-XX) 8 Combinatorics (05-XX) 8 Functional analysis (46-XX) 7 Algebraic geometry (14-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 3 General algebraic systems (08-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Computer science (68-XX) Citations by Year