Differential tensor algebras and their module categories:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society lecture note series
362 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 452 S. graph. Darst. |
| ISBN: | 9780521757683 |
Internformat
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| 245 | 1 | 0 | |a Differential tensor algebras and their module categories |c R. Bautista, L. Salmerón and R. Zuazua |
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Datensatz im Suchindex
| _version_ | 1804140671141937152 |
|---|---|
| adam_text | Titel: Differential tensor algebras and their module categories
Autor: Bautista, R.
Jahr: 2009
Contents
Preface page vii
1 t-algebras and differentials 1
2 Ditalgebras and modules 4
3 Bocses, ditalgebras and modules 13
4 Layered ditalgebras 18
5 Triangular ditalgebras 23
6 Exact structures in yl-Mod 32
7 Almost split conflations in *A-Mod 47
8 Quotient ditalgebras 56
9 Frames and Roiter ditalgebras 66
10 Product of ditalgebras 71
11 Horn-tensor relations and dual basis 74
12 Admissible modules 82
13 Complete admissible modules 98
14 Bimodule filtrations and triangular admissible modules 108
15 Free bimodule filtrations and free ditalgebras ] 17
16 Ax is a Roiter ditalgebra, for suitable X 128
17 Examples and applications 133
18 The exact categories V{ A), V (A) and A -Mod 144
19 Passage from ditalgebras to finite-dimensional algebras 154
20 Scalar extension and ditalgebras 169
21 Bimodules 184
22 Parametrizing bimodules and wildness 197
23 Nested and seminested ditalgebras 215
24 Critical ditalgebras 246
25 Reduction functors 260
26 Modules over non-wild ditalgebras 272
27 Tameness and wildness 284
28 Modules over non-wild ditalgebras revisited 292
29 Modules over non-wild algebras 314
30 Absolute wildness 327
31 Generic modules and tameness 335
32 Almost split sequences and tameness 345
33 Varieties of modules over ditalgebras 360
34 Ditalgebras of partially ordered sets 376
35 Further examples of wild ditalgebras 384
36 Answers to selected exercises 397
References 446
Index 449
|
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| indexdate | 2024-07-09T22:03:41Z |
| institution | BVB |
| isbn | 9780521757683 |
| language | English |
| lccn | 2009014316 |
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| publishDate | 2009 |
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| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Bautista, Raymundo 1943- Verfasser (DE-588)139412565 aut Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 IX, 452 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 362 Includes bibliographical references and index Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd rswk-swf Modulkategorie (DE-588)4170335-2 gnd rswk-swf Tensoralgebra (DE-588)4505278-5 s Modulkategorie (DE-588)4170335-2 s DE-604 Salmerón, L. Verfasser (DE-588)139408029 aut Zuazua, R. Verfasser (DE-588)139408053 aut London Mathematical Society lecture note series 362 (DE-604)BV000000130 362 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018612104&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bautista, Raymundo 1943- Salmerón, L. Zuazua, R. Differential tensor algebras and their module categories London Mathematical Society lecture note series Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd Modulkategorie (DE-588)4170335-2 gnd |
| subject_GND | (DE-588)4505278-5 (DE-588)4170335-2 |
| title | Differential tensor algebras and their module categories |
| title_auth | Differential tensor algebras and their module categories |
| title_exact_search | Differential tensor algebras and their module categories |
| title_full | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_fullStr | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_full_unstemmed | Differential tensor algebras and their module categories R. Bautista, L. Salmerón and R. Zuazua |
| title_short | Differential tensor algebras and their module categories |
| title_sort | differential tensor algebras and their module categories |
| topic | Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra (DE-588)4505278-5 gnd Modulkategorie (DE-588)4170335-2 gnd |
| topic_facet | Tensor algebra Representations of algebras Categories (Mathematics) Tensoralgebra Modulkategorie |
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