Basic representation theory of algebras / Ibrahim Assem y Flávio U. Coelho
Series Editor: Cham : Springer, [2020]Descripción: x, 311 p. : il. ; 25 cmISBN: 9783030351175 (hardcover); 3030351173 (hardcover)Tema(s): Algebra | Representations of algebrasOtra clasificación: 16Gxx (16G20 16G60 16G70)I Modules, algebras and quivers [1] -- I.1 Modules over finite dimensional algebras [1] -- I.2 Quivers and algebras [13] -- II The radical and almost split sequences [41] -- II. 1 The radical of a module category [41] -- II.2 Irreducible morphisms and almost split morphisms [55] -- II.3 The existence of almost split sequences [76] -- II.4 Factorising radical morphisms [89] -- III Constructing almost split sequences [99] -- III.1 The Auslander-Reiten translations [99] -- III.2 TheAuslander-Reitenformulae [111] -- III. 3 Examples of constructions of almost split sequences [124] -- III.4 Almost split sequences over quotient algebras [138] -- IV The Auslander-Reiten quiver of an algebra [157] -- IV. 1 The Auslander-Reiten quiver [157] -- IV.2 Postprojective and preinjective components [192] -- IV.3 The depth of a morphism [206] -- IV. 4 Modules over the Kronecker algebra [216] -- V Endomorphism algebras [235] -- V. l Projectivisation [235] -- V. 2 Tilting theory [246] -- VI Representation-finite algebras [271] -- VI. 1 The Auslander-Reiten quiver and the radical [272] -- VI.2 Representation-finiteness using depths [278] -- VI.3 The Auslander algebra of a representation-finite algebra [282] -- VI.4 The Four Terms in the Middle theorem [298] -- Bibliograpy [305] -- 1.Texbooks on noncommutative and homological algebra [305] -- 2 . General texts on representations of algebras [305] -- 3. Original papers or surveys related to the contents of the book [306] -- Index [309] -
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Libros
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Instituto de Matemática, CONICET-UNS | Últimas adquisiciones | 16 As844b (Browse shelf) | Available | A-9427 |
Includes bibliographical references (pages 305-307) and index.
I Modules, algebras and quivers [1] --
I.1 Modules over finite dimensional algebras [1] --
I.2 Quivers and algebras [13] --
II The radical and almost split sequences [41] --
II. 1 The radical of a module category [41] --
II.2 Irreducible morphisms and almost split morphisms [55] --
II.3 The existence of almost split sequences [76] --
II.4 Factorising radical morphisms [89] --
III Constructing almost split sequences [99] --
III.1 The Auslander-Reiten translations [99] --
III.2 TheAuslander-Reitenformulae [111] --
III. 3 Examples of constructions of almost split sequences [124] --
III.4 Almost split sequences over quotient algebras [138] --
IV The Auslander-Reiten quiver of an algebra [157] --
IV. 1 The Auslander-Reiten quiver [157] --
IV.2 Postprojective and preinjective components [192] --
IV.3 The depth of a morphism [206] --
IV. 4 Modules over the Kronecker algebra [216] --
V Endomorphism algebras [235] --
V. l Projectivisation [235] --
V. 2 Tilting theory [246] --
VI Representation-finite algebras [271] --
VI. 1 The Auslander-Reiten quiver and the radical [272] --
VI.2 Representation-finiteness using depths [278] --
VI.3 The Auslander algebra of a representation-finite algebra [282] --
VI.4 The Four Terms in the Middle theorem [298] --
Bibliograpy [305] --
1.Texbooks on noncommutative and homological algebra [305] --
2 . General texts on representations of algebras [305] --
3. Original papers or surveys related to the contents of the book [306] --
Index [309] -
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