Reiten, Idun 1942
Overview
Works:  38 works in 163 publications in 2 languages and 2,919 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA3, 510.8 S 
Publication Timeline
.
Most widely held works by
Idun Reiten
Trivial extensions of Abelian categories : homological algebra of trivial extensions of Abelian categories with applications
to ring theory by
Robert M Fossum(
Book
)
22 editions published between 1975 and 2008 in 3 languages and held by 429 WorldCat member libraries worldwide
22 editions published between 1975 and 2008 in 3 languages and held by 429 WorldCat member libraries worldwide
Representation theory of Artin algebras by
Maurice Auslander(
Book
)
25 editions published between 1994 and 2010 in English and held by 366 WorldCat member libraries worldwide
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some firstyear graduate algebra and basic homological algebra, the presentation is entirely selfcontained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises
25 editions published between 1994 and 2010 in English and held by 366 WorldCat member libraries worldwide
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some firstyear graduate algebra and basic homological algebra, the presentation is entirely selfcontained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises
Homological and homotopical aspects of Torsion theories by
Apostolos Beligiannis(
Book
)
10 editions published in 2007 in English and held by 236 WorldCat member libraries worldwide
10 editions published in 2007 in English and held by 236 WorldCat member libraries worldwide
Tilting in Abelian categories and quasitilted algebras by
Dieter Happel(
Book
)
13 editions published in 1996 in English and held by 232 WorldCat member libraries worldwide
13 editions published in 1996 in English and held by 232 WorldCat member libraries worldwide
Dualities on generalized Koszul algebras by
Edward L Green(
Book
)
10 editions published in 2002 in English and held by 229 WorldCat member libraries worldwide
Main results and examples Proofs of main results Generalized $T$Koszul algebras Further results and questions Bibliography
10 editions published in 2002 in English and held by 229 WorldCat member libraries worldwide
Main results and examples Proofs of main results Generalized $T$Koszul algebras Further results and questions Bibliography
Twodimensional tame and maximal orders of finite representation type by
Idun Reiten(
Book
)
11 editions published in 1989 in English and held by 225 WorldCat member libraries worldwide
11 editions published in 1989 in English and held by 225 WorldCat member libraries worldwide
Algebras and modules I : Workshop on Representations of Algebras and Related Topics, July 29August 3, 1996, Trondheim, Norway by
Idun Reiten(
Book
)
12 editions published in 1998 in English and held by 158 WorldCat member libraries worldwide
12 editions published in 1998 in English and held by 158 WorldCat member libraries worldwide
Algebras and modules II : Eighth International Conference on Representations of Algebras, August 410, 1996, Geiranger, Norway by International Conference on Representations of Algebras(
Book
)
7 editions published in 1998 in English and held by 142 WorldCat member libraries worldwide
7 editions published in 1998 in English and held by 142 WorldCat member libraries worldwide
Selected works of Maurice Auslander by
Maurice Auslander(
Book
)
4 editions published between 1998 and 1999 in English and held by 94 WorldCat member libraries worldwide
4 editions published between 1998 and 1999 in English and held by 94 WorldCat member libraries worldwide
Algebras, quivers and representations : the Abel symposium 2011 by
Aslak Bakke Buan(
Book
)
11 editions published between 2013 and 2015 in English and held by 26 WorldCat member libraries worldwide
This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories
11 editions published between 2013 and 2015 in English and held by 26 WorldCat member libraries worldwide
This book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulated categories
Selected works of Maurice Auslander by
Maurice Auslander(
Book
)
3 editions published in 1999 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1999 in English and held by 15 WorldCat member libraries worldwide
Dualites on generalized Koszul algebras by
Edward L Green(
Book
)
2 editions published in 2002 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 9 WorldCat member libraries worldwide
The homological algebra of trivial extensions of abelian categories with application to ring theory by
Robert M Fossum(
Book
)
3 editions published in 1972 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 7 WorldCat member libraries worldwide
Sincere stable tubes by
Idun Reiten(
Book
)
1 edition published in 1999 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 7 WorldCat member libraries worldwide
Selected works of Maurice Auslander by
Maurice Auslander(
Book
)
2 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide
Selected works of Maurice Auslander by
Maurice Auslander(
Book
)
2 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 5 WorldCat member libraries worldwide
Eight International Conference of Representations of Algebras : August 4  10, 1996, Geiranger, Norway by
1996, Geiranger> International Conference on Representations of Algebras. <8(
Book
)
1 edition published in 1998 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 3 WorldCat member libraries worldwide
Cambridge Studies in Advanced Mathematics, Volume 36 by
Maurice Auslander(
)
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
Tilting in Abelian categories and quasitilted algebras by
Dieter Happel(
)
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
Classical finite transformation semigroups : an introduction by
Olexandr Ganyushkin(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"The aim of this monograph is to give a selfcontained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, crosssections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers."Jacket
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"The aim of this monograph is to give a selfcontained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, crosssections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers."Jacket
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Related Identities
 Solberg, Øyvind 1961 Editor
 Smalø, Sverre O. Editor
 Fossum, Robert M. Author
 Griffith, Phillip A.
 Buan, Aslak Bakke Author Editor
 Auslander, Maurice Author
 Canadian Mathematical Society
 Beligiannis, Apostolos 1969 Author
 Green, Edward L. 1946 Author
 Happel, Dieter 1953 Author
Useful Links
Associated Subjects
Abelian categories Algebra Algebra, Homological Artin algebras Artin rings Associative algebras Associative rings Combinatorial analysis Commutative rings Differentiable dynamical systems Duality theory (Mathematics) Geometry, Algebraic Graded rings Grothendieck groups Group theory Homotopy theory Koszul algebras Mathematics Modules (Algebra) Partially ordered sets Representations of algebras Representations of rings (Algebra) Semigroups Torsion theory (Algebra)