Edit Profile (opens in new tab) Facchini, Alberto Co-Author Distance 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: 152 Publications since 1979, including 4 Books and 6 Additional arXiv Preprints 7 Contributions as Editor Reviewing Activity: 9 Reviews Co-Authors: 81 Co-Authors with 112 Joint Publications 1,224 Co-Co-Authors all top 5 Co-Authors 47 single-authored 8 Herbera, Dolors 8 Nazemian, Zahra 6 Arroyo Paniagua, María José 6 Gran, Marino 6 Příhoda, Pavel 5 Finocchiaro, Carmelo Antonio 4 Alahmadi, Adel N. 4 Amini, Afshin 4 Amini, Babak 4 Campanini, Federico 3 Heidari Zadeh, Leila 3 Janelidze, George 3 Leroy, André Gérard 3 Mai Hoang Bien 3 Pompili, Mara 3 Puninski, Gena 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 Cerqua, Michela 1 Clementino, Maria Manuel 1 Corisello, Roberta 1 Cortés-Izurdiaga, Manuel 1 de Giovanni, Francesco 1 Dougherty, Steven T. 1 Ebrahim, Fatma Azmy 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 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 Stanovský, David 1 Tolooei, Yaser 1 Tressl, Marcus 1 Trombetti, Marco 1 Zanardo, Paolo all top 5 Serials 16 Communications in Algebra 14 Journal of Algebra 12 Journal of Pure and Applied Algebra 9 Rendiconti del Seminario Matematico della Università di Padova 6 Algebras and Representation Theory 6 Journal of Algebra and its Applications 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 120 Associative rings and algebras (16-XX) 40 Commutative algebra (13-XX) 37 Category theory; homological algebra (18-XX) 24 Group theory and generalizations (20-XX) 9 General and overarching topics; collections (00-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 4 General algebraic systems (08-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 \(K\)-theory (19-XX) 2 Mathematical logic and foundations (03-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-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 122 Publications have been cited 1,044 times in 523 Documents Cited by ▼ Year ▼ Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Zbl 0930.16001 Facchini, Alberto 129 1998 Krull-Schmidt fails for serial modules. Zbl 0868.16003 Facchini, Alberto 55 1996 Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids. Zbl 1016.16002 Facchini, Alberto 31 2002 Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014 Facchini, Alberto; Herbera, Dolors 27 2006 Modules with chain conditions up to isomorphism. Zbl 1408.16017 Facchini, Alberto; Nazemian, Zahra 25 2016 \(K_0\) of a semilocal ring. Zbl 0955.13006 Facchini, Alberto; Herbera, Dolors 24 2000 Equivalence of diagonal matrices over local rings. Zbl 1158.16011 Amini, Babak; Amini, Afshin; Facchini, Alberto 24 2008 Rings of pure global dimension zero and Mittag-Leffler modules. Zbl 0693.16017 Azumaya, Goro; Facchini, Alberto 22 1989 Generalized Dedekind domains and their injective modules. Zbl 0845.13005 Facchini, Alberto 20 1994 Krull-Schmidt fails for Artinian modules. Zbl 0847.16013 Facchini, Alberto; Herbera, Dolors; Levy, Lawrence S.; Vámos, Peter 19 1995 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1277.16001 Facchini, Alberto 19 2012 Automorphism-invariant modules. Zbl 1333.16006 Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh 17 2015 Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002 Facchini, Alberto 17 2019 Krull monoids and their application in module theory. Zbl 1113.20049 Facchini, Alberto 16 2006 Projective modules and divisor homomorphisms. Zbl 1058.16002 Facchini, Alberto; Halter-Koch, Franz 16 2003 Artinian dimension and isoradical of modules. Zbl 1401.16004 Facchini, Alberto; Nazemian, Zahra 16 2017 Relative injectivity and pure-injective modules over Prüfer rings. Zbl 0629.13008 Facchini, Alberto 15 1987 A tilting module over commutative integral domains. Zbl 0629.16020 Facchini, Alberto 15 1987 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. Zbl 1273.16007 Facchini, Alberto 15 2012 Projective modules over semilocal rings. Zbl 0981.16003 Facchini, Alberto; Herbera, Dolors 15 2000 Divisible modules over integral domains. Zbl 0654.13002 Facchini, Alberto 14 1988 Uniserial modules: Sums and isomorphisms of subquotients. Zbl 0712.16008 Facchini, Alberto; Salce, Luigi 14 1990 Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008 Nguyen Viet Dung; Facchini, Alberto 14 1997 Pretorsion theories, stable category and preordered sets. Zbl 1481.18002 Facchini, Alberto; Finocchiaro, Carmelo Antonio 14 2020 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1094.20036 Facchini, Alberto; Wiegand, Roger 13 2004 Finitely generated flat modules and a characterization of semiperfect rings. Zbl 1032.16003 Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 13 2003 Uniqueness of monogeny classes for uniform objects in abelian categories. Zbl 1006.18010 Diracca, Luca; Facchini, Alberto 13 2002 Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108 Campanini, Federico; Facchini, Alberto 13 2019 Kernels of morphisms between indecomposable injective modules. Zbl 1210.16003 Facchini, Alberto; Ecevit, Şule; Koşan, M. Tamer 13 2010 Representation of additive categories and direct-sum decompositions of objects. Zbl 1121.18007 Facchini, Alberto 12 2007 Loewy and Artinian modules over commutative rings. Zbl 0488.13014 Facchini, Alberto 12 1981 Maximal ideals in preadditive categories and semilocal categories. Zbl 1220.18008 Facchini, Alberto; Perone, Marco 12 2011 Direct summands of serial modules. Zbl 0936.16005 Nguyen Viet Dung; Facchini, Alberto 12 1998 Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008 Ara, Pere; Facchini, Alberto 12 2006 Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024 Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger 11 2006 Pretorsion theories in general categories. Zbl 1457.18009 Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 11 2021 Couniformly presented modules and dualities. Zbl 1211.16003 Facchini, Alberto; Girardi, Nicola 11 2010 Factor categories and infinite direct sums. Zbl 1181.16002 Facchini, Alberto; Příhoda, Pavel 10 2009 Discrete valuation domains and ranks of their maximal extensions. Zbl 0608.13010 Facchini, A.; Zanardo, P. 10 1986 Injective modules over pullbacks. Zbl 0526.16014 Facchini, Alberto; Vámos, Peter 9 1985 Endomorphism rings with finitely many maximal right ideals. Zbl 1237.16002 Facchini, Alberto; Příhoda, Pavel 9 2011 The Krull-Schmidt theorem in the case two. Zbl 1259.16004 Facchini, Alberto; Příhoda, Pavel 9 2011 Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007 Facchini, Alberto; Herbera, Dolors 9 2004 Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003 Facchini, Alberto; Moradzadeh-Dehkordi, Ali 9 2014 Homogeneous semilocal rings. Zbl 0996.16013 Corisello, Roberta; Facchini, Alberto 8 2001 The Prüfer rings that are endomorphism rings of artinian modules. Zbl 0806.16022 Camps, Rosa; Facchini, Alberto 8 1994 Elementary matrices and products of idempotents. Zbl 1358.15010 Facchini, A.; Leroy, A. 8 2016 Injective modules, spectral categories, and applications. Zbl 1161.16003 Facchini, Alberto 8 2008 Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029 Facchini, Alberto; Nazemian, Zahra 8 2019 \(\Sigma\)-pure-injective modules over serial rings. Zbl 0843.16003 Facchini, Alberto; Puninski, Gennadi 7 1995 Torsion-free covers and pure-injective envelopes over valuation domains. Zbl 0588.13019 Facchini, Alberto 6 1985 Classical localizations in serial rings. Zbl 0887.16019 Facchini, Alberto; Puninski, Gennadi 6 1996 Category of \(G\)-groups and its spectral category. Zbl 1394.20032 Arroyo Paniagua, María José; Facchini, Alberto 6 2017 A new Galois structure in the category of internal preorders. Zbl 1435.18009 Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 6 2020 Cyclically presented modules over rings of finite type. Zbl 1225.16002 Amini, Babak; Amini, Afshin; Facchini, Alberto 5 2011 Flat modules and lifting of finitely generated projective modules. Zbl 1107.16004 Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 5 2005 Mittag-Leffler modules, reduced products, and direct products. Zbl 0755.16003 Facchini, Alberto 5 1991 On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007 Facchini, Alberto; Perone, Marco 5 2014 An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings. Zbl 1430.18002 Facchini, Alberto; Heidari Zadeh, Leila 5 2019 Some remarks on categories of modules modulo morphisms with essential kernel or superfluous image. Zbl 1293.16005 Alahmadi, Adel; Facchini, Alberto 5 2013 Factorization of elements in noncommutative rings. II. Zbl 1427.16029 Facchini, Alberto; Fassina, Martino 5 2018 Abstractly constructed prime spectra. Zbl 1485.18007 Facchini, Alberto; Finocchiaro, Carmelo Antonio; Janelidze, George 5 2022 Monogeny dimension relative to a fixed uniform module. Zbl 1159.16003 Facchini, Alberto; Příhoda, Pavel 4 2008 Rings whose proper factors are right perfect. Zbl 1226.16012 Facchini, Alberto; Parolin, Catia 4 2011 Serial rings that are endomorphism rings of Artinian modules. Zbl 0849.16029 Camps, Rosa; Facchini, Alberto; Puninski, Gennadi 4 1996 Direct sums of infinitely many kernels. Zbl 1231.16002 Ecevit, Şule; Facchini, Alberto; Koşan, M. Tamer 4 2010 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030 Facchini, Alberto; Lucchini, Andrea 4 2018 The Krull-Schmidt theorem. Zbl 1079.16002 Facchini, Alberto 4 2003 FP-injective quotient rings and elementary divisor rings. Zbl 0879.13005 Facchini, Alberto; Faith, Carl 4 1997 The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 1515.20281 Altun-Özarslan, Meltem; Facchini, Alberto 4 2019 On isonoetherian and isoartinian modules. Zbl 1423.16004 Facchini, Alberto; Nazemian, Zahra 4 2019 On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026 Campanini, Federico; Facchini, Alberto 4 2018 Commutative rings whose finitely embedded modules have injective dimension \(\approx\) 1. Zbl 0542.13006 Facchini, Alberto 3 1982 Representations of the category of serial modules of finite Goldie dimension. Zbl 1221.16009 Facchini, Alberto; Příhoda, Pavel 3 2008 Rings whose finitely generated torsion modules in the sense of Dickson decompose into direct sums of cyclic submodules. Zbl 0469.13005 Facchini, Alberto 3 1980 Mittag-Leffler modules and semi-hereditary rings. Zbl 0865.16004 Albrecht, Ulrich; Facchini, Alberto 3 1996 Absolutely pure modules and locally injective modules. Zbl 0810.13007 Facchini, Alberto 3 1993 Pure-injective envelope of a commutative ring and localizations. Zbl 0668.13012 Facchini, Alberto 2 1988 A characterization of additive categories with the Krull-Schmidt property. Zbl 1122.18005 Facchini, Alberto 2 2006 Subdirect products of preadditive categories and weak equivalences. Zbl 1142.18006 Facchini, Alberto; Fernández-Alonso, Rogelio 2 2008 On the structure of torch rings. Zbl 0529.13003 Facchini, Alberto 2 1983 Auslander-Bridger modules. Zbl 1271.16002 Facchini, Alberto; Girardi, Nicola 2 2012 Weak Krull-Schmidt for infinite direct sums of cyclically presented modules over local rings. Zbl 1243.16001 Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2009 Krull-Schmidt theorem and homogeneous semilocal rings. Zbl 0996.16014 Barioli, Francesco; Facchini, Alberto; Raggi, Francisco; Ríos, José 2 2001 Modules with only finitely many direct sum decompositions up to isomorphism. Zbl 1069.16003 Facchini, Alberto; Herbera, Dolors 2 2003 Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. Zbl 1225.16001 Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2011 Factorization of elements in noncommutative rings. I. Zbl 1369.16035 Facchini, Alberto; Fassina, Martino 2 2016 \(G\)-groups and biuniform abelian normal subgroups. Zbl 1375.20030 Arroyo Paniagua, María José; Facchini, Alberto 2 2016 Covering classes and uniserial modules. Zbl 1469.16045 Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel 2 2021 Spectra of groups. Zbl 1527.20036 Facchini, Alberto; de Giovanni, Francesco; Trombetti, Marco 2 2023 What is the spectral category? Zbl 1440.18012 Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George 2 2020 Homomorphisms with semilocal endomorphism rings between modules. Zbl 1475.16007 Campanini, Federico; El-Deken, Susan F.; Facchini, Alberto 2 2020 Projective covers over local rings. Zbl 07384249 Ercolanoni, Sofia; Facchini, Alberto 2 2021 On a partially ordered set associated to ring morphisms. Zbl 1479.16001 Facchini, Alberto; Heidari Zadeh, Leila 2 2019 Infinite progenerator sums. Zbl 1111.16003 Facchini, Alberto; Levy, Lawrence S. 1 2006 Fiber products and Morita duality for commutative rings. Zbl 0508.13015 Facchini, Alberto 1 1982 Decompositions of algebraically compact modules. Zbl 0523.16019 Facchini, Alberto 1 1985 Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Zbl 0830.00031 1 1995 Lattice of submodules and isomorphism of subquotients. Zbl 0563.16019 Facchini, Alberto 1 1984 Geometric regularity of direct-sum decompositions in some classes of modules. Zbl 1073.16004 Facchini, A. 1 2004 Spectra of groups. Zbl 1527.20036 Facchini, Alberto; de Giovanni, Francesco; Trombetti, Marco 2 2023 Algebras with a bilinear form, and idempotent endomorphisms. Zbl 1514.17001 Facchini, Alberto; Heidari Zadeh, Leila 1 2023 Aspects of the category SKB of skew braces. Zbl 1521.16020 Bourn, Dominique; Facchini, Alberto; Pompili, Mara 1 2023 Abstractly constructed prime spectra. Zbl 1485.18007 Facchini, Alberto; Finocchiaro, Carmelo Antonio; Janelidze, George 5 2022 Pretorsion theories in general categories. Zbl 1457.18009 Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 11 2021 Covering classes and uniserial modules. Zbl 1469.16045 Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel 2 2021 Projective covers over local rings. Zbl 07384249 Ercolanoni, Sofia; Facchini, Alberto 2 2021 Pretorsion theories, stable category and preordered sets. Zbl 1481.18002 Facchini, Alberto; Finocchiaro, Carmelo Antonio 14 2020 A new Galois structure in the category of internal preorders. Zbl 1435.18009 Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino 6 2020 What is the spectral category? Zbl 1440.18012 Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George 2 2020 Homomorphisms with semilocal endomorphism rings between modules. Zbl 1475.16007 Campanini, Federico; El-Deken, Susan F.; Facchini, Alberto 2 2020 Factorizations of elements in local rings and semilocal rings of finite type. Zbl 1482.16030 Arroyo Paniagua, María José; Facchini, Alberto; Tolooei, Yaser 1 2020 Covering classes, strongly flat modules, and completions. Zbl 1475.16015 Facchini, Alberto; Nazemian, Zahra 1 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 Relations between endomorphism rings, injectivity, surjectivity and uniserial modules. Zbl 1446.16045 Altun-Özarslan, Meltem; Facchini, Alberto 1 2020 Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002 Facchini, Alberto 17 2019 Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108 Campanini, Federico; Facchini, Alberto 13 2019 Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029 Facchini, Alberto; Nazemian, Zahra 8 2019 An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings. Zbl 1430.18002 Facchini, Alberto; Heidari Zadeh, Leila 5 2019 The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 1515.20281 Altun-Özarslan, Meltem; Facchini, Alberto 4 2019 On isonoetherian and isoartinian modules. Zbl 1423.16004 Facchini, Alberto; Nazemian, Zahra 4 2019 On a partially ordered set associated to ring morphisms. Zbl 1479.16001 Facchini, Alberto; Heidari Zadeh, Leila 2 2019 Factorization of elements in noncommutative rings. II. Zbl 1427.16029 Facchini, Alberto; Fassina, Martino 5 2018 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030 Facchini, Alberto; Lucchini, Andrea 4 2018 On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026 Campanini, Federico; Facchini, Alberto 4 2018 Uniqueness of decomposition, factorisations, \(G\)-groups and polynomials. Zbl 1420.16002 Facchini, Alberto; Şahinkaya, Serap 1 2018 Serial factorizations of right ideals. Zbl 1427.16001 Facchini, Alberto; Nazemian, Zahra 1 2018 Artinian dimension and isoradical of modules. Zbl 1401.16004 Facchini, Alberto; Nazemian, Zahra 16 2017 Category of \(G\)-groups and its spectral category. Zbl 1394.20032 Arroyo Paniagua, María José; Facchini, Alberto 6 2017 Equalizers and kernels in categories of monoids. Zbl 1422.20033 Facchini, Alberto; Rodaro, Emanuele 1 2017 Modules with chain conditions up to isomorphism. Zbl 1408.16017 Facchini, Alberto; Nazemian, Zahra 25 2016 Elementary matrices and products of idempotents. Zbl 1358.15010 Facchini, A.; Leroy, A. 8 2016 Factorization of elements in noncommutative rings. I. Zbl 1369.16035 Facchini, Alberto; Fassina, Martino 2 2016 \(G\)-groups and biuniform abelian normal subgroups. Zbl 1375.20030 Arroyo Paniagua, María José; Facchini, Alberto 2 2016 Automorphism-invariant modules. Zbl 1333.16006 Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh 17 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 1359.16005 Alahmadi, Adel; Facchini, Alberto 1 2015 Loewy modules with finite Loewy invariants and max modules with finite radical invariants. Zbl 1327.16013 Facchini, Alberto; Bien, Mai Hoang 1 2015 From endomorphism rings to some noteworthy ideals in categories of modules. Zbl 1358.16003 Facchini, Alberto 1 2015 Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003 Facchini, Alberto; Moradzadeh-Dehkordi, Ali 9 2014 On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007 Facchini, Alberto; Perone, Marco 5 2014 Cyclically presented modules, projective covers and factorizations. Zbl 1296.16001 Facchini, Alberto; Smertnig, Daniel; Tung, Nguyen Khanh 1 2014 Maximal ideals of the endomorphism ring of an injective module. Zbl 1309.16002 Facchini, Alberto; Bien, Mai Hoang 1 2014 Some remarks on categories of modules modulo morphisms with essential kernel or superfluous image. Zbl 1293.16005 Alahmadi, Adel; Facchini, Alberto 5 2013 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1277.16001 Facchini, Alberto 19 2012 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. Zbl 1273.16007 Facchini, Alberto 15 2012 Auslander-Bridger modules. Zbl 1271.16002 Facchini, Alberto; Girardi, Nicola 2 2012 Maximal ideals in preadditive categories and semilocal categories. Zbl 1220.18008 Facchini, Alberto; Perone, Marco 12 2011 Endomorphism rings with finitely many maximal right ideals. Zbl 1237.16002 Facchini, Alberto; Příhoda, Pavel 9 2011 The Krull-Schmidt theorem in the case two. Zbl 1259.16004 Facchini, Alberto; Příhoda, Pavel 9 2011 Cyclically presented modules over rings of finite type. Zbl 1225.16002 Amini, Babak; Amini, Afshin; Facchini, Alberto 5 2011 Rings whose proper factors are right perfect. Zbl 1226.16012 Facchini, Alberto; Parolin, Catia 4 2011 Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. Zbl 1225.16001 Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2011 Kernels of morphisms between indecomposable injective modules. Zbl 1210.16003 Facchini, Alberto; Ecevit, Şule; Koşan, M. Tamer 13 2010 Couniformly presented modules and dualities. Zbl 1211.16003 Facchini, Alberto; Girardi, Nicola 11 2010 Direct sums of infinitely many kernels. Zbl 1231.16002 Ecevit, Şule; Facchini, Alberto; Koşan, M. Tamer 4 2010 Factor categories and infinite direct sums. Zbl 1181.16002 Facchini, Alberto; Příhoda, Pavel 10 2009 Weak Krull-Schmidt for infinite direct sums of cyclically presented modules over local rings. Zbl 1243.16001 Amini, Afshin; Amini, Babak; Facchini, Alberto 2 2009 Subdirect representations of categories of modules. Zbl 1196.16002 Facchini, Alberto 1 2009 Equivalence of diagonal matrices over local rings. Zbl 1158.16011 Amini, Babak; Amini, Afshin; Facchini, Alberto 24 2008 Injective modules, spectral categories, and applications. Zbl 1161.16003 Facchini, Alberto 8 2008 Monogeny dimension relative to a fixed uniform module. Zbl 1159.16003 Facchini, Alberto; Příhoda, Pavel 4 2008 Representations of the category of serial modules of finite Goldie dimension. Zbl 1221.16009 Facchini, Alberto; Příhoda, Pavel 3 2008 Subdirect products of preadditive categories and weak equivalences. Zbl 1142.18006 Facchini, Alberto; Fernández-Alonso, Rogelio 2 2008 Representation of additive categories and direct-sum decompositions of objects. Zbl 1121.18007 Facchini, Alberto 12 2007 Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014 Facchini, Alberto; Herbera, Dolors 27 2006 Krull monoids and their application in module theory. Zbl 1113.20049 Facchini, Alberto 16 2006 Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008 Ara, Pere; Facchini, Alberto 12 2006 Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024 Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger 11 2006 A characterization of additive categories with the Krull-Schmidt property. Zbl 1122.18005 Facchini, Alberto 2 2006 Infinite progenerator sums. Zbl 1111.16003 Facchini, Alberto; Levy, Lawrence S. 1 2006 Flat modules and lifting of finitely generated projective modules. Zbl 1107.16004 Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 5 2005 Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1094.20036 Facchini, Alberto; Wiegand, Roger 13 2004 Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007 Facchini, Alberto; Herbera, Dolors 9 2004 Geometric regularity of direct-sum decompositions in some classes of modules. Zbl 1073.16004 Facchini, A. 1 2004 Rings, modules, algebras, and Abelian groups. Proceedings of the algebra conference – Venezia 2002, Venice, Italy, June 3–8, 2002. Zbl 1030.00028 1 2004 Projective modules and divisor homomorphisms. Zbl 1058.16002 Facchini, Alberto; Halter-Koch, Franz 16 2003 Finitely generated flat modules and a characterization of semiperfect rings. Zbl 1032.16003 Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak 13 2003 The Krull-Schmidt theorem. Zbl 1079.16002 Facchini, Alberto 4 2003 Modules with only finitely many direct sum decompositions up to isomorphism. Zbl 1069.16003 Facchini, Alberto; Herbera, Dolors 2 2003 Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids. Zbl 1016.16002 Facchini, Alberto 31 2002 Uniqueness of monogeny classes for uniform objects in abelian categories. Zbl 1006.18010 Diracca, Luca; Facchini, Alberto 13 2002 Homogeneous semilocal rings. Zbl 0996.16013 Corisello, Roberta; Facchini, Alberto 8 2001 Krull-Schmidt theorem and homogeneous semilocal rings. Zbl 0996.16014 Barioli, Francesco; Facchini, Alberto; Raggi, Francisco; Ríos, José 2 2001 Krull-Schmidt theorem and semilocal endomorphism rings. Zbl 0986.16002 Facchini, A. 1 2001 \(K_0\) of a semilocal ring. Zbl 0955.13006 Facchini, Alberto; Herbera, Dolors 24 2000 Projective modules over semilocal rings. Zbl 0981.16003 Facchini, Alberto; Herbera, Dolors 15 2000 Failure of the Krull-Schmidt theorem for Artinian modules and serial modules. Zbl 0989.16003 Facchini, Alberto 1 2000 Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Zbl 0930.16001 Facchini, Alberto 129 1998 Direct summands of serial modules. Zbl 0936.16005 Nguyen Viet Dung; Facchini, Alberto 12 1998 Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008 Nguyen Viet Dung; Facchini, Alberto 14 1997 FP-injective quotient rings and elementary divisor rings. Zbl 0879.13005 Facchini, Alberto; Faith, Carl 4 1997 Krull-Schmidt fails for serial modules. Zbl 0868.16003 Facchini, Alberto 55 1996 Classical localizations in serial rings. Zbl 0887.16019 Facchini, Alberto; Puninski, Gennadi 6 1996 Serial rings that are endomorphism rings of Artinian modules. Zbl 0849.16029 Camps, Rosa; Facchini, Alberto; Puninski, Gennadi 4 1996 Mittag-Leffler modules and semi-hereditary rings. Zbl 0865.16004 Albrecht, Ulrich; Facchini, Alberto 3 1996 Abelian categories in which linear algebra is possible. Zbl 0877.18004 Busqué, Claudi; Facchini, Alberto 1 1996 Krull-Schmidt fails for Artinian modules. Zbl 0847.16013 Facchini, Alberto; Herbera, Dolors; Levy, Lawrence S.; Vámos, Peter 19 1995 \(\Sigma\)-pure-injective modules over serial rings. Zbl 0843.16003 Facchini, 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 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 435 Authors 87 Facchini, Alberto 20 Příhoda, Pavel 19 Geroldinger, Alfred 14 Puninski, Gena 14 Tuganbaev, Askar Akanovich 13 Behboodi, Mahmood 13 Herbera, Dolors 12 Moradzadeh-Dehkordi, Ali 11 Nazemian, Zahra 11 Quynh, Truong Cong 10 Keskin Tutuncu, Derya 9 Ara, Pere 9 Bazzoni, Silvana 9 Rothmaler, Philipp 9 Tribak, Rachid 8 Abyzov, Adel Nailevich 8 Baeth, Nicholas R. 8 Campanini, Federico 8 Couchot, François 8 Gran, Marino 8 Koşan, Muhammet Tamer 8 Salce, Luigi 8 Zanardo, Paolo 7 Berktaş, Mustafa Kemal 6 Fuchs, László 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 Amini, Afshin 5 Amini, Babak 5 Büyükasik, Engin 5 Ebrahimi Atani, Shahabaddin 5 Gotti, Felix 5 Olberding, Bruce M. 5 Schmid, Wolfgang Alexander 5 Shojaee, Seyed Hossein 5 Wiegand, Roger Allen 4 Alahmadi, Adel N. 4 Angeleri Hügel, Lidia 4 Arroyo Paniagua, María José 4 Cortés-Izurdiaga, Manuel 4 Dolati Pishhesari, Saboura 4 Durğun, Yılmaz 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 Kourki, Farid 4 Lam, Tsit-Yuen 4 Mai Hoang Bien 4 Pardo, Enrique 4 Polo, Harold 4 Positselski, Leonid Efimovich 4 Smertnig, Daniel 4 Vámos, Peter 4 Yousif, Mohamed F. 3 Abdelwahab, S. M. 3 Altun-Özarslan, Meltem 3 Borceux, Francis 3 Chaturvedi, Avanish Kumar 3 Chen, Huanyin 3 Cossu, Laura 3 Crivei, Septimiu 3 Daneshvar, Asghar 3 Faith, Carl C. 3 Finocchiaro, Carmelo Antonio 3 Girardi, Nicola 3 Heidari Zadeh, Leila 3 Jain, Surender Kumar 3 Kang, Byung Gyun 3 Kaynarca, Fatma 3 Khalifa, Mohamed 3 Khurana, Dinesh 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 Qourchi Nejadi, M. 3 Šaroch, Jan 3 Šťovíček, Jan 3 Tringali, Salvatore 3 Wang, Fanggui 3 Zhou, Yiqiang 3 Zhu, Xiaosheng 2 Adarbeh, Khalid 2 Alvarado-García, Alejandro 2 Aydoğdu, Pınar 2 Bennis, Driss ...and 335 more Authors all top 5 Cited in 96 Serials 96 Communications in Algebra 80 Journal of Algebra 50 Journal of Pure and Applied Algebra 50 Journal of Algebra and its Applications 18 Rendiconti del Seminario Matematico della Università di Padova 15 Algebras and Representation Theory 10 Proceedings of the American Mathematical Society 9 Journal of Mathematical Sciences (New York) 6 Israel Journal of Mathematics 6 Advances in Mathematics 6 Semigroup Forum 6 Forum Mathematicum 6 Journal of Commutative Algebra 5 Rocky Mountain Journal of Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Bulletin of the Korean Mathematical Society 3 Annals of Pure and Applied Logic 3 Bulletin of the Iranian Mathematical Society 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 Czechoslovak Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Revista Matemática Iberoamericana 2 Expositiones Mathematicae 2 Algebra Colloquium 2 Theory and Applications of Categories 2 Journal of the Australian Mathematical Society 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 Journal of the Korean Mathematical Society 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 Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 \(K\)-Theory 1 Journal of Automated Reasoning 1 Publicacions Matemàtiques 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 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 Vietnam Journal of Mathematics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 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 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 Oberwolfach Reports 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 25 Fields 375 Associative rings and algebras (16-XX) 171 Commutative algebra (13-XX) 85 Group theory and generalizations (20-XX) 78 Category theory; homological algebra (18-XX) 26 Number theory (11-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 20 Mathematical logic and foundations (03-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) 6 General topology (54-XX) 5 General algebraic systems (08-XX) 5 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) Citations by Year