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Author ID: reiten.idun Recent zbMATH articles by "Reiten, Idun"
Published as: Reiten, Idun; Reiten, I.
External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef
Documents Indexed: 138 Publications since 1970, including 6 Books
6 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 44 Co-Authors with 120 Joint Publications
653 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 5,484 times in 2,839 Documents Cited by Year
Representation theory of Artin algebras. Zbl 0834.16001
Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.
826
1995
Tilting theory and cluster combinatorics. Zbl 1127.16011
Buan, Aslak Bakke; Marsh, Bethany Rose; Reineke, Markus; Reiten, Idun; Todorov, Gordana
387
2006
Applications of contravariantly finite subcategories. Zbl 0774.16006
Auslander, Maurice; Reiten, Idun
335
1991
Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011
Happel, Dieter; Reiten, Idun; Smalø, Sverre O.
252
1996
Representation theory of Artin algebras. III: Almost split sequences. Zbl 0331.16027
Auslander, Maurice; Reiten, Idun
248
1975
Homological and homotopical aspects of torsion theories. Zbl 1124.18005
Beligiannis, Apostolos; Reiten, Idun
199
2007
Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007
Keller, Bernhard; Reiten, Idun
183
2007
Cluster-tilted algebras. Zbl 1123.16009
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
170
2007
\(\tau\)-tilting theory. Zbl 1330.16004
Adachi, Takahide; Iyama, Osamu; Reiten, Idun
160
2014
Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009
Reiten, I.; Van den Bergh, M.
144
2002
Cluster structures for 2-Calabi-Yau categories and unipotent groups. Zbl 1181.18006
Buan, A. B.; Iyama, O.; Reiten, I.; Scott, J.
129
2009
Representation theory of Artin algebras. IV: Invariants given by almost split sequences. Zbl 0396.16007
Auslander, Maurice; Reiten, Idun
126
1977
Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory. Zbl 0303.18006
Fossum, Robert M.; Griffith, Phillip A.; Reiten, Idun
122
1975
Coxeter functors without diagrams. Zbl 0421.16016
Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun
104
1979
Stable equivalence of dualizing R-varieties. Zbl 0285.16027
Auslander, Maurice; Reiten, Idun
91
1974
Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017
Reiten, Idun; Riedtmann, Christine
77
1985
On a generalized version of the Nakayama conjecture. Zbl 0337.16004
Auslander, Maurice; Reiten, Idun
72
1975
Cluster mutation via quiver representations. Zbl 1193.16016
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
66
2008
Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007
Iyama, Osamu; Reiten, Idun
66
2008
Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003
Auslander, Maurice; Reiten, Idun
64
1991
Representation theory of Artin algebras. V: Methods for computing almost split sequences and irreducible morphisms. Zbl 0396.16008
Auslander, Maurice; Reiten, Idun
64
1977
Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014
Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun
59
2008
Mutation of cluster-tilting objects and potentials. Zbl 1285.16012
Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D.
56
2011
Acyclic Calabi-Yau categories. Zbl 1171.18008
Keller, Bernhard; Reiten, Idun
50
2008
The converse to a theorem of Sharp on Gorenstein modules. Zbl 0235.13016
Reiten, Idun
48
1972
Cluster-tilted algebras of finite representation type. Zbl 1116.16012
Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun
48
2006
Representation theory of Artin algebras. VI: A functorial approach to almost split sequences. Zbl 0446.16027
Auslander, Maurice; Reiten, Idun
44
1978
Clusters and seeds in acyclic cluster algebras. With an appendix coauthored in addition by P. Caldero and B. Keller. Zbl 1190.16022
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun; Todorov, Gordana
42
2007
\(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016
Auslander, Maurice; Reiten, Idun
41
1994
Modules determined by their composition factors. Zbl 0539.16011
Auslander, Maurice; Reiten, Idun
40
1985
Stable equivalence of Artin algebras. Zbl 0276.16020
Auslander, Maurice; Reiten, Idun
38
1973
Syzygy modules for Noetherian rings. Zbl 0857.16006
Auslander, Maurice; Reiten, Idun
38
1996
Trivial extensions of abelian categories and applications to rings: An expository account. Zbl 0255.16014
Fossum, R.; Griffith, P.; Reiten, I.
36
1972
Minimal injective resolutions with applications to dualizing modules and Gorenstein modules. Zbl 0321.13013
Fossum, Robert; Foxby, Hans-Bjorn; Griffith, Phillip; Reiten, Idun
36
1975
Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002
Reiten, Idun; Van den Bergh, Michel
34
1989
Generalized double tilted algebras. Zbl 1071.16011
Reiten, Idun; Skowroński, Andrzej
33
2004
Stable categories of Cohen-Macaulay modules and cluster categories. Zbl 1450.18003
Amiot, Claire; Iyama, Osamu; Reiten, Idun
32
2015
Characterizations of algebras with small homological dimensions. Zbl 1051.16011
Reiten, Idun; Skowroński, Andrzej
30
2003
Exact categories and vector space categories. (With an appendix by B. Keller). Zbl 0916.16002
Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind
29
1999
Gentle algebras are Gorenstein. Zbl 1148.16301
Geiß, Ch.; Reiten, I.
29
2005
Grothendieck groups of algebras and orders. Zbl 0576.18008
Auslander, Maurice; Reiten, Idun
27
1986
Wakamatsu tilting modules. Zbl 1075.16006
Mantese, Francesca; Reiten, Idun
26
2004
Infinite dimensional representations of canonical algebras. Zbl 1192.16004
Reiten, Idun; Ringel, Claus Michael
24
2006
Hereditary abelian categories with tilting object over arbitrary base fields. Zbl 1015.18007
Happel, Dieter; Reiten, Idun
24
2002
Piecewise hereditary algebras. Zbl 0865.16009
Happel, Dieter; Reiten, Idun; Smalø, Sverre
23
1996
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
21
2018
Hereditary noetherian categories of positive Euler characteristic. Zbl 1105.18010
Lenzing, Helmut; Reiten, Idun
21
2006
Short chains and short cycles of modules. Zbl 0794.16013
Reiten, I.; Skowroński, A.; Smalø, S. O.
20
1993
Note on rings of finite representations type and decompositions of modules. Zbl 0281.16019
Fuller, K. R.; Reiten, Idun
20
1975
Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033
Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana
20
2012
Dualities on generalized Koszul algebras. Zbl 1012.16033
Green, Edward L.; Reiten, Idun; Solberg, Øyvind
19
2002
Modules of finite projective dimension for standardly stratified algebras. Zbl 1002.16009
Platzeck, María Inés; Reiten, Idun
19
2001
Homologically finite subcategories. Zbl 0774.16005
Auslander, Maurice; Reiten, Idun
18
1992
McKay quivers and extended Dynkin diagrams. Zbl 0588.20001
Auslander, Maurice; Reiten, Idun
18
1986
Lattice structure of torsion classes for path algebras. Zbl 1397.16011
Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana
18
2015
Cluster categories. Zbl 1264.16017
Reiten, Idun
17
2011
Almost split sequences for Cohen-Macaulay-modules. Zbl 0611.13009
Auslander, Maurice; Reiten, Idun
16
1987
\(D\text{Tr}\)-periodic modules and functors. Zbl 0859.16008
Auslander, Maurice; Reiten, Idun
16
1996
Acyclic quivers of finite mutation type. Zbl 1116.16013
Buan, Aslak Bakke; Reiten, Idun
15
2006
On modules with linear presentations. Zbl 0988.16031
Green, E. L.; Martinez-Villa, R.; Reiten, I.; Solberg, Ø.; Zacharia, D.
15
1998
Selected works of Maurice Auslander. Part 1. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01021
Auslander, Maurice
15
1999
On the representation type of triangular matrix rings. Zbl 0316.16034
Auslander, Maurice; Reiten, Idun
15
1976
Denominators of cluster variables. Zbl 1237.16009
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
15
2009
Bounded derived categories and repetitive algebras. Zbl 1187.16016
Happel, Dieter; Keller, Bernhard; Reiten, Idun
14
2008
Sincere stable tubes. Zbl 0970.16013
Reiten, I.; Skowroński, A.
14
2000
Three kinds of mutation. Zbl 1247.16008
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh
14
2011
Almost split sequences for rational double points. Zbl 0617.13018
Auslander, Maurice; Reiten, Idun
13
1987
Tame concealed algebras and cluster quivers of minimal infinite type. Zbl 1127.16012
Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet I.
13
2007
Quotient closed subcategories of quiver representations. Zbl 1366.16010
Oppermann, Steffen; Reiten, Idun; Thomas, Hugh
13
2015
Dominant dimension and tilting modules. Zbl 1468.16026
Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie
13
2019
The Cohen-Macaulay type of Cohen-Macaulay rings. Zbl 0744.13003
Auslander, Maurice; Reiten, Idun
12
1989
Stable equivalence of dualizing R-varieties. V: Artin algebras stably equivalent to hereditary algebras. Zbl 0312.16018
Auslander, Maurice; Reiten, Idun
12
1975
Uniserial functors. Zbl 0454.16013
Auslander, Maurice; Reiten, Idun
11
1980
Hereditary categories with tilting object. Zbl 0937.18014
Happel, Dieter; Reiten, Idun
11
1999
On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008
Auslander, Maurice; Reiten, Idun
10
1991
Almost split sequences in dimension two. Zbl 0625.13013
Auslander, M.; Reiten, I.
10
1987
Galois actions on rings and finite Galois coverings. Zbl 0677.16024
Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.
10
1989
Introduction to \(\tau\)-tilting theory. Zbl 1355.16001
Iyama, Osamu; Reiten, Idun
10
2014
Dynkin diagrams and representation theory of algebras. Zbl 0940.16009
Reiten, Idun
10
1997
Directing objects in hereditary categories. Zbl 0923.16012
Happel, Dieter; Reiten, Idun
10
1998
Almost split sequences whose middle term has at most two indecomposable summands. Zbl 0429.16016
Auslander, M.; Bautista, R.; Platzeck, M. I.; Reiten, I.; Smalo, S. O.
10
1979
Stable equivalence of self-injective algebras. Zbl 0325.16016
Reiten, Idun
10
1976
From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh
10
2012
2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012
Iyama, Osamu; Reiten, Idun
9
2011
The ubiquity of generalized cluster categories. Zbl 1268.18007
Amiot, Claire; Reiten, Idun; Todorov, Gordana
9
2011
Almost split sequences for group algebras of finite representation type. Zbl 0368.16004
Reiten, Idun
9
1977
Grothendieck groups and tilting objects. Zbl 0988.18008
Reiten, Idun; Van den Bergh, Michel
9
2001
Stable equivalence of dualizing R-varieties. III: Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties. Zbl 0312.16016
Auslander, Maurice; Reiten, Idun
9
1975
Abelian categories, almost split sequences, and comodules. Zbl 1068.18010
Kleiner, Mark; Reiten, Idun
8
2005
Modules with waists. Zbl 0304.16007
Auslander, M.; Green, Edward L.; Reiten, Idun
8
1975
Stable equivalence of dualizing R-varieties. II: Hereditary dualizing R- varieties. Zbl 0312.16015
Auslander, Maurice; Reiten, Idun
8
1975
Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions. Zbl 0731.13007
Auslander, Maurice; Reiten, Idun
7
1989
The use of almost split sequences in the representation theory of Artin algebras. Zbl 0486.16018
Reiten, Idun
7
1982
On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010
Donkin, Stephen; Reiten, Idun
7
1994
Commutative n-Gorenstein rings. Zbl 0256.13016
Reiten, Idun; Fossum, Robert
6
1972
Tilting theory and quasitilted algebras. Zbl 0906.16002
Reiten, Idun
6
1998
Stable equivalence of dualizing R-varieties. VI: Nakayama dualizing R- varieties. Zbl 0312.16019
Reiten, Idun
6
1975
Short chains and regular components. Zbl 0782.16008
Reiten, Idun; Skowroński, Andrzej; Smalø, Sverre O.
5
1993
Almost split sequences for \({\mathbb{Z}}\)-graded rings. Zbl 0632.13005
Auslander, Maurice; Reiten, Idun
5
1987
On the construction of ring extensions. Zbl 0319.16011
Green, Edward L.; Reiten, Idun
5
1976
Dominant dimension and tilting modules. Zbl 1468.16026
Nguyen, Van C.; Reiten, Idun; Todorov, Gordana; Zhu, Shijie
13
2019
Lattice structure of Weyl groups via representation theory of preprojective algebras. Zbl 1443.16016
Iyama, Osamu; Reading, Nathan; Reiten, Idun; Thomas, Hugh
21
2018
Algebras of finite representation type arising from maximal rigid objects. Zbl 1368.18007
Buan, Aslak Bakke; Palu, Yann; Reiten, Idun
3
2016
Rigid and Schurian modules over cluster-tilted algebras of tame type. Zbl 1390.13067
Marsh, Bethany R.; Reiten, Idun
1
2016
Stable categories of Cohen-Macaulay modules and cluster categories. Zbl 1450.18003
Amiot, Claire; Iyama, Osamu; Reiten, Idun
32
2015
Lattice structure of torsion classes for path algebras. Zbl 1397.16011
Iyama, Osamu; Reiten, Idun; Thomas, Hugh; Todorov, Gordana
18
2015
Quotient closed subcategories of quiver representations. Zbl 1366.16010
Oppermann, Steffen; Reiten, Idun; Thomas, Hugh
13
2015
\(\tau\)-tilting theory. Zbl 1330.16004
Adachi, Takahide; Iyama, Osamu; Reiten, Idun
160
2014
Introduction to \(\tau\)-tilting theory. Zbl 1355.16001
Iyama, Osamu; Reiten, Idun
10
2014
Preprojective algebras and \(c\)-sortable words. Zbl 1246.13033
Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana
20
2012
From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences. Zbl 1246.05171
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh
10
2012
Mutation of cluster-tilting objects and potentials. Zbl 1285.16012
Buan, A. B.; Iyama, O.; Reiten, I.; Smith, D.
56
2011
Cluster categories. Zbl 1264.16017
Reiten, Idun
17
2011
Three kinds of mutation. Zbl 1247.16008
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh
14
2011
2-Auslander algebras associated with reduced words in Coxeter groups. Zbl 1277.16012
Iyama, Osamu; Reiten, Idun
9
2011
The ubiquity of generalized cluster categories. Zbl 1268.18007
Amiot, Claire; Reiten, Idun; Todorov, Gordana
9
2011
2-Calabi-Yau tilted algebras. Zbl 1247.16013
Reiten, Idun
3
2010
Cluster structures for 2-Calabi-Yau categories and unipotent groups. Zbl 1181.18006
Buan, A. B.; Iyama, O.; Reiten, I.; Scott, J.
129
2009
Denominators of cluster variables. Zbl 1237.16009
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
15
2009
\(m\)-noncrossing partitions and \(m\)-clusters. Zbl 1392.05012
Buan, Aslak Bakke; Reiten, Idun; Thomas, Hugh
2
2009
Cluster mutation via quiver representations. Zbl 1193.16016
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
66
2008
Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Zbl 1162.16007
Iyama, Osamu; Reiten, Idun
66
2008
Cluster tilting for one-dimensional hypersurface singularities. Zbl 1143.13014
Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun
59
2008
Acyclic Calabi-Yau categories. Zbl 1171.18008
Keller, Bernhard; Reiten, Idun
50
2008
Bounded derived categories and repetitive algebras. Zbl 1187.16016
Happel, Dieter; Keller, Bernhard; Reiten, Idun
14
2008
Homological and homotopical aspects of torsion theories. Zbl 1124.18005
Beligiannis, Apostolos; Reiten, Idun
199
2007
Cluster-tilted algebras are Gorenstein and stably Calabi-Yau. Zbl 1128.18007
Keller, Bernhard; Reiten, Idun
183
2007
Cluster-tilted algebras. Zbl 1123.16009
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun
170
2007
Clusters and seeds in acyclic cluster algebras. With an appendix coauthored in addition by P. Caldero and B. Keller. Zbl 1190.16022
Buan, Aslak Bakke; Marsh, Bethany R.; Reiten, Idun; Todorov, Gordana
42
2007
Tame concealed algebras and cluster quivers of minimal infinite type. Zbl 1127.16012
Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet I.
13
2007
Trisections of module categories. Zbl 1169.16006
de la Peña, José A.; Reiten, Idun
3
2007
Tilting theory and cluster combinatorics. Zbl 1127.16011
Buan, Aslak Bakke; Marsh, Bethany Rose; Reineke, Markus; Reiten, Idun; Todorov, Gordana
387
2006
Cluster-tilted algebras of finite representation type. Zbl 1116.16012
Buan, Aslak Bakke; Marsh, Robert J.; Reiten, Idun
48
2006
Infinite dimensional representations of canonical algebras. Zbl 1192.16004
Reiten, Idun; Ringel, Claus Michael
24
2006
Hereditary noetherian categories of positive Euler characteristic. Zbl 1105.18010
Lenzing, Helmut; Reiten, Idun
21
2006
Acyclic quivers of finite mutation type. Zbl 1116.16013
Buan, Aslak Bakke; Reiten, Idun
15
2006
Gentle algebras are Gorenstein. Zbl 1148.16301
Geiß, Ch.; Reiten, I.
29
2005
Abelian categories, almost split sequences, and comodules. Zbl 1068.18010
Kleiner, Mark; Reiten, Idun
8
2005
Generalized double tilted algebras. Zbl 1071.16011
Reiten, Idun; Skowroński, Andrzej
33
2004
Wakamatsu tilting modules. Zbl 1075.16006
Mantese, Francesca; Reiten, Idun
26
2004
Characterizations of algebras with small homological dimensions. Zbl 1051.16011
Reiten, Idun; Skowroński, Andrzej
30
2003
Noetherian hereditary abelian categories satisfying Serre duality. Zbl 0991.18009
Reiten, I.; Van den Bergh, M.
144
2002
Hereditary abelian categories with tilting object over arbitrary base fields. Zbl 1015.18007
Happel, Dieter; Reiten, Idun
24
2002
Dualities on generalized Koszul algebras. Zbl 1012.16033
Green, Edward L.; Reiten, Idun; Solberg, Øyvind
19
2002
A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line. Zbl 1043.16006
Happel, Dieter; Reiten, Idun
2
2002
Hereditary categories with Serre duality. Zbl 1087.18500
Reiten, Idun
1
2002
A combinatorial characterization of hereditary categories containing simple objects. Zbl 1050.18008
Happel, Dieter; Reiten, Idun
1
2002
Modules of finite projective dimension for standardly stratified algebras. Zbl 1002.16009
Platzeck, María Inés; Reiten, Idun
19
2001
Grothendieck groups and tilting objects. Zbl 0988.18008
Reiten, Idun; Van den Bergh, Michel
9
2001
Hereditary Abelian categories and almost split sequences. Zbl 1064.16017
Reiten, Idun
1
2001
Sincere stable tubes. Zbl 0970.16013
Reiten, I.; Skowroński, A.
14
2000
Exact categories and vector space categories. (With an appendix by B. Keller). Zbl 0916.16002
Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind
29
1999
Selected works of Maurice Auslander. Part 1. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01021
Auslander, Maurice
15
1999
Hereditary categories with tilting object. Zbl 0937.18014
Happel, Dieter; Reiten, Idun
11
1999
Additive functions for quivers with relations. Zbl 0984.16015
Lenzing, Helmut; Reiten, Idun
3
1999
Selected works of Maurice Auslander. Part 2. Ed. by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. Zbl 1007.01022
Auslander, Maurice
2
1999
On modules with linear presentations. Zbl 0988.16031
Green, E. L.; Martinez-Villa, R.; Reiten, I.; Solberg, Ø.; Zacharia, D.
15
1998
Directing objects in hereditary categories. Zbl 0923.16012
Happel, Dieter; Reiten, Idun
10
1998
Tilting theory and quasitilted algebras. Zbl 0906.16002
Reiten, Idun
6
1998
Homological properties of almost split sequences. Zbl 0944.16012
Reiten, Idun
1
1998
Dynkin diagrams and representation theory of algebras. Zbl 0940.16009
Reiten, Idun
10
1997
Tilting in abelian categories and quasitilted algebras. Zbl 0849.16011
Happel, Dieter; Reiten, Idun; Smalø, Sverre O.
252
1996
Syzygy modules for Noetherian rings. Zbl 0857.16006
Auslander, Maurice; Reiten, Idun
38
1996
Piecewise hereditary algebras. Zbl 0865.16009
Happel, Dieter; Reiten, Idun; Smalø, Sverre
23
1996
\(D\text{Tr}\)-periodic modules and functors. Zbl 0859.16008
Auslander, Maurice; Reiten, Idun
16
1996
An introduction to quasitilted algebras. Zbl 0879.16003
Happel, Dieter; Reiten, Idun
2
1996
Representation theory of Artin algebras. Zbl 0834.16001
Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.
826
1995
\(k\)-Gorenstein algebras and syzygy modules. Zbl 0803.16016
Auslander, Maurice; Reiten, Idun
41
1994
On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010
Donkin, Stephen; Reiten, Idun
7
1994
Short chains and short cycles of modules. Zbl 0794.16013
Reiten, I.; Skowroński, A.; Smalø, S. O.
20
1993
Short chains and regular components. Zbl 0782.16008
Reiten, Idun; Skowroński, Andrzej; Smalø, Sverre O.
5
1993
Short cycles and sincere modules. Zbl 0828.16009
Happel, Dieter; Reiten, Idun; Smalø, Sverre O.
2
1993
Homologically finite subcategories. Zbl 0774.16005
Auslander, Maurice; Reiten, Idun
18
1992
Applications of contravariantly finite subcategories. Zbl 0774.16006
Auslander, Maurice; Reiten, Idun
335
1991
Cohen-Macaulay and Gorenstein Artin algebras. Zbl 0776.16003
Auslander, Maurice; Reiten, Idun
64
1991
On a theorem of E. Green on the dual of the transpose. Zbl 0754.16008
Auslander, Maurice; Reiten, Idun
10
1991
Two-dimensional tame and maximal orders of finite representation type. Zbl 0677.16002
Reiten, Idun; Van den Bergh, Michel
34
1989
The Cohen-Macaulay type of Cohen-Macaulay rings. Zbl 0744.13003
Auslander, Maurice; Reiten, Idun
12
1989
Galois actions on rings and finite Galois coverings. Zbl 0677.16024
Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.
10
1989
Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions. Zbl 0731.13007
Auslander, Maurice; Reiten, Idun
7
1989
Grothendieck groups of algebras with nilpotent annihilators. Zbl 0655.13010
Auslander, Maurice; Reiten, Idun
4
1988
Almost split sequences for Abelian group graded rings. Zbl 0668.16001
Auslander, Maurice; Reiten, Idun
1
1988
Almost split sequences for Cohen-Macaulay-modules. Zbl 0611.13009
Auslander, Maurice; Reiten, Idun
16
1987
Almost split sequences for rational double points. Zbl 0617.13018
Auslander, Maurice; Reiten, Idun
13
1987
Almost split sequences in dimension two. Zbl 0625.13013
Auslander, M.; Reiten, I.
10
1987
Almost split sequences for \({\mathbb{Z}}\)-graded rings. Zbl 0632.13005
Auslander, Maurice; Reiten, Idun
5
1987
Finite dimensional algebras and singularities. Zbl 0639.16017
Reiten, Idun
3
1987
Grothendieck groups of algebras and orders. Zbl 0576.18008
Auslander, Maurice; Reiten, Idun
27
1986
McKay quivers and extended Dynkin diagrams. Zbl 0588.20001
Auslander, Maurice; Reiten, Idun
18
1986
Skew group algebras in the representation theory of Artin algebras. Zbl 0549.16017
Reiten, Idun; Riedtmann, Christine
77
1985
Modules determined by their composition factors. Zbl 0539.16011
Auslander, Maurice; Reiten, Idun
40
1985
An introduction to the representation theory of Artin algebras. Zbl 0573.16014
Reiten, Idun
3
1985
The use of almost split sequences in the representation theory of Artin algebras. Zbl 0486.16018
Reiten, Idun
7
1982
Generalized stable equivalence and group algebras. Zbl 0504.16023
Reiten, Idun
2
1982
Uniserial functors. Zbl 0454.16013
Auslander, Maurice; Reiten, Idun
11
1980
Coxeter functors without diagrams. Zbl 0421.16016
Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun
104
1979
Almost split sequences whose middle term has at most two indecomposable summands. Zbl 0429.16016
Auslander, M.; Bautista, R.; Platzeck, M. I.; Reiten, I.; Smalo, S. O.
10
1979
Algebras stably equivalent to Nakayama algebras of Loewy length at most 4. Zbl 0404.16013
Reiten, Idun
2
1979
Representation theory of Artin algebras. VI: A functorial approach to almost split sequences. Zbl 0446.16027
Auslander, Maurice; Reiten, Idun
44
1978
Periodic modules over weakly symmetric algebras. Zbl 0366.16010
Auslander, Maurice; Platzeck, Maria Ines; Reiten, Idun
2
1978
...and 26 more Documents
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Cited by 1,491 Authors

69 Skowroński, Andrzej
67 Reiten, Idun
57 Assem, Ibrahim
50 Huang, Zhaoyong
44 Iyama, Osamu
40 Zhu, Bin
38 Schiffler, Ralf
37 Zhang, Pu
34 Coelho, Flávio Ulhoa
32 Happel, Dieter
32 Wei, Jiaqun
31 Auslander, Maurice
31 Trepode, Sonia Elisabet
28 Erdmann, Karin
26 Chen, Xiaowu
26 Igusa, Kiyoshi
26 Jørgensen, Peter Bjørn
26 Zhou, Panyue
25 Angeleri Hügel, Lidia
25 Buan, Aslak Bakke
25 Todorov, Gordana
24 Green, Edward Lee
23 Ringel, Claus Michael
23 Xi, Changchang
22 Bautista, Raymundo
22 Malicki, Piotr
21 Brüstle, Thomas
21 Solberg, Øyvind
21 Takahashi, Ryo
20 Krause, Henning
20 Simson, Daniel
19 Chaio, Claudia
19 Geiss, Christof
19 Li, Fang
19 Marcos, Eduardo N.
19 Platzeck, María Inés
19 Rump, Wolfgang
19 Saorín, Manuel
19 Yamagata, Kunio
18 Gao, Nan
18 Hafezi, Rasool
18 Marsh, Bethany Rose
18 Martinez-Villa, Roberto
17 Holm, Thorsten
17 Keller, Bernhard
17 König, Steffen
17 Schröer, Jan
17 Thomas, Hugh Ross
16 Asadollahi, Javad J.
16 Baur, Karin
16 Kerner, Otto
16 Mendoza, Octavio
16 Oppermann, Steffen
16 Psaroudakis, Chrysostomos
15 de la Peña, José Antonio
15 Leclerc, Bernard
15 Lenzing, Helmut
15 Lu, Ming
15 Marczinzik, René
15 Smalø, Sverre Olaf
14 Fu, Changjian
14 Liu, Shiping
14 Šťovíček, Jan
14 Zacharia, Dan
14 Zhang, Xiaojin
13 Bobiński, Grzegorz
13 Bongartz, Klaus
13 Nguyen Viet Dung
13 Pogorzały, Zygmunt
13 Schroll, Sibylle
13 Trlifaj, Jan jun.
13 Unger, Luise
13 Vitória, Jorge
13 Wemyss, Michael
13 Yao, Hailou
13 Zhou, Yu
12 Drozd, Yuriĭ Anatoliĭovych
12 Guo, Jinyun
12 Lanzilotta, Marcelo Américo
12 Liu, Yuming
12 Pauksztello, David
12 Plamondon, Pierre-Guy
12 Toda, Yukinobu
12 Ye, Yu
11 Bazzoni, Silvana
11 Beligiannis, Apostolos
11 Ding, Ming
11 Ding, Nanqing
11 Farnsteiner, Rolf
11 Geng, Shengfei
11 Sáenz, Corina
11 Szántó, Csaba
11 Xu, Fan
10 Dugas, Alex S.
10 Dupont, Grégoire
10 García, José Luis
10 Le Meur, Patrick
10 Lin, Yanan
10 Liu, Zhong-kui
10 Lu, Jiafeng
...and 1,391 more Authors
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Cited in 204 Serials

542 Journal of Algebra
297 Communications in Algebra
257 Journal of Pure and Applied Algebra
171 Algebras and Representation Theory
142 Advances in Mathematics
114 Transactions of the American Mathematical Society
102 Proceedings of the American Mathematical Society
95 Mathematische Zeitschrift
71 Journal of Algebra and its Applications
43 Archiv der Mathematik
39 Applied Categorical Structures
34 Glasgow Mathematical Journal
33 Science China. Mathematics
29 Linear Algebra and its Applications
27 Acta Mathematica Sinica. English Series
21 Science in China. Series A
20 Inventiones Mathematicae
20 Manuscripta Mathematica
19 Compositio Mathematica
19 Nagoya Mathematical Journal
17 Frontiers of Mathematics in China
16 Mathematische Annalen
16 Pacific Journal of Mathematics
16 Journal of Algebraic Combinatorics
15 Central European Journal of Mathematics
14 Forum Mathematicum
14 Journal of Mathematical Sciences (New York)
13 Israel Journal of Mathematics
13 Colloquium Mathematicum
13 Documenta Mathematica
11 Selecta Mathematica. New Series
10 Duke Mathematical Journal
10 Journal für die Reine und Angewandte Mathematik
10 Algebra Colloquium
10 Representation Theory
9 Bulletin of the London Mathematical Society
9 Journal of the Mathematical Society of Japan
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Bulletin des Sciences Mathématiques
8 Communications in Mathematical Physics
8 Czechoslovak Mathematical Journal
8 Journal of Combinatorial Theory. Series A
8 Bulletin of the Iranian Mathematical Society
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Journal of Noncommutative Geometry
7 Mathematical Notes
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Proceedings of the London Mathematical Society. Third Series
7 Journal of Algebraic Geometry
7 Journal of the Australian Mathematical Society
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Bulletin of the Australian Mathematical Society
6 Beiträge zur Algebra und Geometrie
6 Annales de l’Institut Fourier
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Memoirs of the American Mathematical Society
6 Chinese Annals of Mathematics. Series B
6 Journal of the American Mathematical Society
6 Geometry & Topology
6 Journal of the European Mathematical Society (JEMS)
6 Journal of High Energy Physics
6 Journal of \(K\)-Theory
6 Journal of Commutative Algebra
6 Kyoto Journal of Mathematics
5 Rocky Mountain Journal of Mathematics
5 Illinois Journal of Mathematics
5 Publications Mathématiques
5 Osaka Journal of Mathematics
5 Rendiconti del Seminario Matematico della Università di Padova
5 International Journal of Algebra and Computation
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Transformation Groups
5 Taiwanese Journal of Mathematics
5 Forum of Mathematics, Sigma
4 Indian Journal of Pure & Applied Mathematics
4 Ukrainian Mathematical Journal
4 Mathematische Nachrichten
4 Advances in Applied Mathematics
4 Bulletin of the Korean Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Algebra and Discrete Mathematics
4 Algebra & Number Theory
4 European Journal of Mathematics
4 Algebraic Combinatorics
3 Periodica Mathematica Hungarica
3 Arkiv för Matematik
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Canadian Journal of Mathematics
3 Journal of the Korean Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Quaestiones Mathematicae
3 International Journal of Mathematics
3 IMRN. International Mathematics Research Notices
3 Proceedings of the National Academy of Sciences of the United States of America
3 The Electronic Journal of Combinatorics
3 Séminaire Lotharingien de Combinatoire
3 Communications in Contemporary Mathematics
...and 104 more Serials
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Cited in 39 Fields

2,314 Associative rings and algebras (16-XX)
993 Category theory; homological algebra (18-XX)
558 Commutative algebra (13-XX)
343 Algebraic geometry (14-XX)
186 Group theory and generalizations (20-XX)
166 Combinatorics (05-XX)
138 Nonassociative rings and algebras (17-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
36 Algebraic topology (55-XX)
35 Order, lattices, ordered algebraic structures (06-XX)
26 \(K\)-theory (19-XX)
25 Quantum theory (81-XX)
24 Mathematical logic and foundations (03-XX)
19 Convex and discrete geometry (52-XX)
18 Manifolds and cell complexes (57-XX)
15 Several complex variables and analytic spaces (32-XX)
11 Number theory (11-XX)
9 Topological groups, Lie groups (22-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Field theory and polynomials (12-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
3 Functional analysis (46-XX)
3 Computer science (68-XX)
2 Partial differential equations (35-XX)
2 Difference and functional equations (39-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 Ordinary differential equations (34-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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