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Author ID: facchini.alberto Recent zbMATH articles by "Facchini, Alberto"
Published as: Facchini, Alberto; Facchini, A.
Homepage: http://www.math.unipd.it/~facchini
External Links: MGP · Google Scholar · dblp · GND
Documents Indexed: 140 Publications since 1979, including 4 Books
7 Contributions as Editor
Reviewing Activity: 9 Reviews
Co-Authors: 73 Co-Authors with 101 Joint Publications
1,035 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 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 Heidari Zadeh, Leila
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 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 Puczyłowski, Edmund R.
1 Raggi Cardenas, Francisco Federico
1 Ringel, Claus Michael
1 Ríos, José Pérez
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

14 Communications in Algebra
13 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
2 Linear and Multilinear Algebra
2 Pacific Journal of Mathematics
2 Contemporary Mathematics
2 Progress in Mathematics
2 International Electronic Journal of Algebra (IEJA)
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

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 919 times in 459 Documents Cited by Year
Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Zbl 0930.16001
Facchini, Alberto
114
1998
Krull-Schmidt fails for serial modules. Zbl 0868.16003
Facchini, Alberto
54
1996
Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids. Zbl 1016.16002
Facchini, Alberto
30
2002
Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014
Facchini, Alberto; Herbera, Dolors
25
2006
\(K_0\) 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
23
2008
Rings of pure global dimension zero and Mittag-Leffler modules. Zbl 0693.16017
Azumaya, Goro; Facchini, Alberto
21
1989
Generalized Dedekind domains and their injective modules. Zbl 0845.13005
Facchini, Alberto
20
1994
Modules with chain conditions up to isomorphism. Zbl 1408.16017
Facchini, Alberto; Nazemian, Zahra
20
2016
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
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
15
2003
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
Projective modules over semilocal rings. Zbl 0981.16003
Facchini, Alberto; Herbera, Dolors
14
2000
Krull monoids and their application in module theory. Zbl 1113.20049
Facchini, Alberto
14
2006
Automorphism-invariant modules. Zbl 1333.16006
Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh
14
2015
Divisible modules over integral domains. Zbl 0654.13002
Facchini, Alberto
14
1988
Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. Zbl 1273.16007
Facchini, Alberto
13
2012
Uniqueness of monogeny classes for uniform objects in abelian categories. Zbl 1006.18010
Diracca, Luca; Facchini, Alberto
13
2002
Finitely generated flat modules and a characterization of semiperfect rings. Zbl 1032.16003
Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak
13
2003
Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008
Nguyen Viet Dung; Facchini, Alberto
13
1997
Uniserial modules: Sums and isomorphisms of subquotients. Zbl 0712.16008
Facchini, Alberto; Salce, Luigi
13
1990
Artinian dimension and isoradical of modules. Zbl 1401.16004
Facchini, Alberto; Nazemian, Zahra
13
2017
Direct-sum decompositions of modules with semilocal endomorphism rings. Zbl 1094.20036
Facchini, Alberto; Wiegand, Roger
12
2004
Kernels of morphisms between indecomposable injective modules. Zbl 1210.16003
Facchini, Alberto; Ecevit, Şule; Koşan, M. Tamer
12
2010
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
11
1998
Couniformly presented modules and dualities. Zbl 1211.16003
Facchini, Alberto; Girardi, Nicola
11
2010
Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024
Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger
11
2006
Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008
Ara, Pere; Facchini, Alberto
11
2006
Representation of additive categories and direct-sum decompositions of objects. Zbl 1121.18007
Facchini, Alberto
10
2007
Loewy and Artinian modules over commutative rings. Zbl 0488.13014
Facchini, Alberto
10
1981
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
Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002
Facchini, Alberto
10
2019
Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007
Facchini, Alberto; Herbera, Dolors
9
2004
Endomorphism rings with finitely many maximal right ideals. Zbl 1237.16002
Facchini, Alberto; Příhoda, Pavel
9
2011
Injective modules over pullbacks. Zbl 0526.16014
Facchini, Alberto; Vámos, Peter
9
1985
Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029
Facchini, Alberto; Nazemian, Zahra
8
2019
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
Injective modules, spectral categories, and applications. Zbl 1161.16003
Facchini, Alberto
8
2008
The Krull-Schmidt theorem in the case two. Zbl 1259.16004
Facchini, Alberto; Příhoda, Pavel
8
2011
Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003
Facchini, Alberto; Moradzadeh-Dehkordi, Ali
8
2014
\(\Sigma\)-pure-injective modules over serial rings. Zbl 0843.16003
Facchini, Alberto; Puninski, Gennadi
7
1995
Elementary matrices and products of idempotents. Zbl 1358.15010
Facchini, A.; Leroy, A.
7
2016
Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108
Campanini, Federico; Facchini, Alberto
7
2019
Classical localizations in serial rings. Zbl 0887.16019
Facchini, Alberto; Puninski, Gennadi
6
1996
Torsion-free covers and pure-injective envelopes over valuation domains. Zbl 0588.13019
Facchini, Alberto
6
1985
Pretorsion theories, stable category and preordered sets. Zbl 1481.18002
Facchini, Alberto; Finocchiaro, Carmelo Antonio
6
2020
Mittag-Leffler modules, reduced products, and direct products. Zbl 0755.16003
Facchini, Alberto
5
1991
Flat modules and lifting of finitely generated projective modules. Zbl 1107.16004
Facchini, Alberto; Herbera, Dolors; Sakhajev, Iskhak
5
2005
Cyclically presented modules over rings of finite type. Zbl 1225.16002
Amini, Babak; Amini, Afshin; Facchini, Alberto
5
2011
Some remarks on categories of modules modulo morphisms with essential kernel or superfluous image. Zbl 1293.16005
Alahmadi, Adel; Facchini, Alberto
5
2013
FP-injective quotient rings and elementary divisor rings. Zbl 0879.13005
Facchini, Alberto; Faith, Carl
4
1997
Serial rings that are endomorphism rings of Artinian modules. Zbl 0849.16029
Camps, Rosa; Facchini, Alberto; Puninski, Gennadi
4
1996
Monogeny dimension relative to a fixed uniform module. Zbl 1159.16003
Facchini, Alberto; Příhoda, Pavel
4
2008
On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007
Facchini, Alberto; Perone, Marco
4
2014
Category of \(G\)-groups and its spectral category. Zbl 1394.20032
Arroyo Paniagua, María José; Facchini, Alberto
4
2017
On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026
Campanini, Federico; Facchini, Alberto
3
2018
Factorization of elements in noncommutative rings. II. Zbl 1427.16029
Facchini, Alberto; Fassina, Martino
3
2018
The Krull-Schmidt theorem. Zbl 1079.16002
Facchini, Alberto
3
2003
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
Rings whose proper factors are right perfect. Zbl 1226.16012
Facchini, Alberto; Parolin, Catia
3
2011
Direct sums of infinitely many kernels. Zbl 1231.16002
Ecevit, Şule; Facchini, Alberto; Koşan, M. Tamer
3
2010
Representations of the category of serial modules of finite Goldie dimension. Zbl 1221.16009
Facchini, Alberto; Příhoda, Pavel
3
2008
On isonoetherian and isoartinian modules. Zbl 1423.16004
Facchini, Alberto; Nazemian, Zahra
3
2019
Krull-Schmidt theorem and homogeneous semilocal rings. Zbl 0996.16014
Barioli, Francesco; Facchini, Alberto; Raggi, Francisco; Ríos, José
2
2001
The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030
Facchini, Alberto; Lucchini, Andrea
2
2018
Pretorsion theories in general categories. Zbl 1457.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
2
2021
What is the spectral category? Zbl 1440.18012
Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George
2
2020
Modules with only finitely many direct sum decompositions up to isomorphism. Zbl 1069.16003
Facchini, Alberto; Herbera, Dolors
2
2003
Rings whose finitely generated torsion modules in the sense of Dickson decompose into direct sums of cyclic submodules. Zbl 0469.13005
Facchini, Alberto
2
1980
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
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
On the structure of torch rings. Zbl 0529.13003
Facchini, Alberto
2
1983
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
A new Galois structure in the category of internal preorders. Zbl 1435.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
2
2020
Projective covers over local rings. Zbl 07384249
Ercolanoni, Sofia; Facchini, Alberto
2
2021
Pure-injective envelope of a commutative ring and localizations. Zbl 0668.13012
Facchini, Alberto
2
1988
The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 07120001
Altun-Özarslan, Meltem; Facchini, Alberto
2
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
2
2019
Commutative rings whose finitely embedded modules have injective dimension \(\approx\) 1. Zbl 0542.13006
Facchini, Alberto
2
1982
Factorization of elements in noncommutative rings. I. Zbl 1369.16035
Facchini, Alberto; Fassina, Martino
2
2016
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 and uniserial modules. Zbl 1469.16045
Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel
1
2021
Serial factorizations of right ideals. Zbl 1427.16001
Facchini, Alberto; Nazemian, Zahra
1
2018
On a partially ordered set associated to ring morphisms. Zbl 1479.16001
Facchini, Alberto; Heidari Zadeh, Leila
1
2019
Failure of the Krull-Schmidt theorem for Artinian modules and serial modules. Zbl 0989.16003
Facchini, Alberto
1
2000
Krull-Schmidt theorem and semilocal endomorphism rings. Zbl 0986.16002
Facchini, A.
1
2001
Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Zbl 0830.00031
1
1995
Reflexive rings. Zbl 0429.13005
Facchini, Alberto
1
1979
Subdirect representations of categories of modules. Zbl 1196.16002
Facchini, Alberto
1
2009
Abelian categories in which linear algebra is possible. Zbl 0877.18004
Busqué, Claudi; Facchini, Alberto
1
1996
Maximal ideals of the endomorphism ring of an injective module. Zbl 1309.16002
Facchini, Alberto; Bien, Mai Hoang
1
2014
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
Pretorsion theories in general categories. Zbl 1457.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
2
2021
Projective covers over local rings. Zbl 07384249
Ercolanoni, Sofia; Facchini, Alberto
2
2021
Covering classes and uniserial modules. Zbl 1469.16045
Facchini, Alberto; Nazemian, Zahra; Příhoda, Pavel
1
2021
Pretorsion theories, stable category and preordered sets. Zbl 1481.18002
Facchini, Alberto; Finocchiaro, Carmelo Antonio
6
2020
What is the spectral category? Zbl 1440.18012
Arroyo Paniagua, María José; Facchini, Alberto; Gran, Marino; Janelidze, George
2
2020
A new Galois structure in the category of internal preorders. Zbl 1435.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
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
Relations between endomorphism rings, injectivity, surjectivity and uniserial modules. Zbl 1446.16045
Altun-Özarslan, Meltem; Facchini, Alberto
1
2020
Homomorphisms with semilocal endomorphism rings between modules. Zbl 1475.16007
Campanini, Federico; El-Deken, Susan F.; Facchini, Alberto
1
2020
Semilocal categories and modules with semilocal endomorphism rings. Zbl 1444.18002
Facchini, Alberto
10
2019
Equivalence of some homological conditions for ring epimorphisms. Zbl 1442.16029
Facchini, Alberto; Nazemian, Zahra
8
2019
Factorizations of polynomials with integral non-negative coefficients. Zbl 1454.20108
Campanini, Federico; Facchini, Alberto
7
2019
On isonoetherian and isoartinian modules. Zbl 1423.16004
Facchini, Alberto; Nazemian, Zahra
3
2019
The Krull-Schmidt-Remak-Azumaya theorem for \(G\)-groups. Zbl 07120001
Altun-Özarslan, Meltem; Facchini, Alberto
2
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
2
2019
On a partially ordered set associated to ring morphisms. Zbl 1479.16001
Facchini, Alberto; Heidari Zadeh, Leila
1
2019
On a category of extensions whose endomorphism rings have at most four maximal ideals. Zbl 1398.16026
Campanini, Federico; Facchini, Alberto
3
2018
Factorization of elements in noncommutative rings. II. Zbl 1427.16029
Facchini, Alberto; Fassina, Martino
3
2018
The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030
Facchini, Alberto; Lucchini, Andrea
2
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
13
2017
Category of \(G\)-groups and its spectral category. Zbl 1394.20032
Arroyo Paniagua, María José; Facchini, Alberto
4
2017
Modules with chain conditions up to isomorphism. Zbl 1408.16017
Facchini, Alberto; Nazemian, Zahra
20
2016
Elementary matrices and products of idempotents. Zbl 1358.15010
Facchini, A.; Leroy, A.
7
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
1
2016
Automorphism-invariant modules. Zbl 1333.16006
Alahmadi, Adel; Facchini, Alberto; Tung, Nguyen Khanh
14
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
From endomorphism rings to some noteworthy ideals in categories of modules. Zbl 1358.16003
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
Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. Zbl 1308.16003
Facchini, Alberto; Moradzadeh-Dehkordi, Ali
8
2014
On some noteworthy pairs of ideals in \(\mathrm{Mod-}R\). Zbl 1326.18007
Facchini, Alberto; Perone, Marco
4
2014
Maximal ideals of the endomorphism ring of an injective module. Zbl 1309.16002
Facchini, Alberto; Bien, Mai Hoang
1
2014
Cyclically presented modules, projective covers and factorizations. Zbl 1296.16001
Facchini, Alberto; Smertnig, Daniel; Tung, Nguyen Khanh
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
13
2012
Auslander-Bridger modules. Zbl 1271.16002
Facchini, Alberto; Girardi, Nicola
1
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
8
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
3
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
12
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
3
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
23
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
10
2007
Local morphisms and modules with a semilocal endomorphism ring. Zbl 1130.16014
Facchini, Alberto; Herbera, Dolors
25
2006
Krull monoids and their application in module theory. Zbl 1113.20049
Facchini, Alberto
14
2006
Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings. Zbl 1121.13024
Facchini, Alberto; Hassler, Wolfgang; Klingler, Lee; Wiegand, Roger
11
2006
Direct sum decompositions of modules, almost trace ideals, and pullbacks of monoids. Zbl 1109.16008
Ara, Pere; Facchini, Alberto
11
2006
A characterization of additive categories with the Krull-Schmidt property. Zbl 1122.18005
Facchini, Alberto
2
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
12
2004
Two results on modules whose endomorphism ring is semilocal. Zbl 1077.16007
Facchini, Alberto; Herbera, Dolors
9
2004
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
15
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
3
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
30
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
14
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
114
1998
Direct summands of serial modules. Zbl 0936.16005
Nguyen Viet Dung; Facchini, Alberto
11
1998
Weak Krull-Schmidt for infinite direct sums of uniserial modules. Zbl 0885.16008
Nguyen Viet Dung; Facchini, Alberto
13
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
54
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
Generalized Dedekind domains and their injective modules. Zbl 0845.13005
Facchini, Alberto
20
1994
The Prüfer rings that are endomorphism rings of artinian modules. Zbl 0806.16022
Camps, Rosa; Facchini, Alberto
8
1994
Absolutely pure modules and locally injective modules. Zbl 0810.13007
Facchini, Alberto
3
1993
Mittag-Leffler modules, reduced products, and direct products. Zbl 0755.16003
Facchini, Alberto
5
1991
Uniserial modules: Sums and isomorphisms of subquotients. Zbl 0712.16008
Facchini, Alberto; Salce, Luigi
13
1990
Rings of pure global dimension zero and Mittag-Leffler modules. Zbl 0693.16017
Azumaya, Goro; Facchini, Alberto
21
1989
Divisible modules over integral domains. Zbl 0654.13002
Facchini, Alberto
14
1988
Pure-injective envelope of a commutative ring and localizations. Zbl 0668.13012
Facchini, Alberto
2
1988
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
Discrete valuation domains and ranks of their maximal extensions. Zbl 0608.13010
Facchini, A.; Zanardo, P.
10
1986
...and 11 more Documents
all top 5

Cited by 383 Authors

80 Facchini, Alberto
18 Geroldinger, Alfred
18 Příhoda, Pavel
14 Tuganbaev, Askar Akanovich
13 Herbera, Dolors
12 Behboodi, Mahmood
10 Moradzadeh-Dehkordi, Ali
10 Nazemian, Zahra
10 Puninski, Gena
9 Bazzoni, Silvana
9 Keskin Tutuncu, Derya
9 Quynh, Truong Cong
9 Rothmaler, Philipp
8 Ara, Pere
8 Baeth, Nicholas R.
8 Salce, Luigi
8 Zanardo, Paolo
7 Abyzov, Adel Nailevich
7 Couchot, François
7 Koşan, Muhammet Tamer
7 Tribak, Rachid
6 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.
5 Alagöz, Yusuf
5 Albrecht, Ulrich F.
5 Campanini, Federico
5 Ebrahimi Atani, Shahabaddin
5 Olberding, Bruce M.
5 Schmid, Wolfgang Alexander
5 Shojaee, Seyed Hossein
5 Wiegand, Roger Allen
5 Zhong, Qinghai
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 Gran, Marino
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 Vámos, Peter
4 Yousif, Mohamed F.
3 Abdelwahab, S. M.
3 Chen, Huanyin
3 Crivei, Septimiu
3 Durğun, Yılmaz
3 Fahmy, Mohamed H. S.
3 Faith, Carl C.
3 Girardi, Nicola
3 Jain, Surender Kumar
3 Kang, Byung Gyun
3 Kaynarca, Fatma
3 Khurana, Dinesh
3 Krylov, Piotr A.
3 Leroy, André Gérard
3 López-Permouth, Sergio Roberto
3 Orhan Ertaş, Nil
3 Perone, Marco
3 Positselski, Leonid Efimovich
3 Prest, Mike
3 Puninskaya, V. A.
3 Puninski, Gennadi
3 Smertnig, Daniel
3 Wang, Fanggui
3 Zhou, Yiqiang
3 Zhu, Xiaosheng
2 Adarbeh, Khalid
2 Altun-Özarslan, Meltem
2 Alvarado-García, Alejandro
2 Aydoğdu, Pınar
2 Bennis, Driss
2 Breaz, Simion
2 Camps, Rosa
2 Cejudo-Castilla, César
2 Chaturvedi, Avanish Kumar
2 Cossu, Laura
2 Daneshvar, Asghar
2 Davvaz, Bijan
2 D’Este, Gabriella
2 Ding, Nanqing
2 Diracca, Luca
2 Dubrovin, Nikolaĭ Ivanovich
2 Ecevit, Şule
2 Ech-chaouy, Rachid
...and 283 more Authors
all top 5

Cited in 86 Serials

90 Communications in Algebra
73 Journal of Algebra
44 Journal of Pure and Applied Algebra
41 Journal of Algebra and its Applications
18 Rendiconti del Seminario Matematico della Università di Padova
13 Algebras and Representation Theory
9 Proceedings of the American Mathematical Society
9 Journal of Mathematical Sciences (New York)
5 Rocky Mountain Journal of Mathematics
5 Advances in Mathematics
5 Semigroup Forum
5 Journal of Commutative Algebra
4 Israel Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Glasgow Mathematical Journal
4 Quaestiones Mathematicae
4 Transactions of the American Mathematical Society
4 Applied Categorical Structures
3 Indian Journal of Pure & Applied Mathematics
3 Linear and Multilinear Algebra
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
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 Algebra Colloquium
2 International Electronic Journal of Algebra (IEJA)
2 Asian-European Journal of Mathematics
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 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 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 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 Algebra and Discrete Mathematics
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 Arabian Journal of Mathematics
1 Palestine 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

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