Auslander-Buchweitz approximations of equivariant modules:
This book, first published in 2000, focuses on homological aspects of equivariant modules. It presents a homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximation...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2000
|
| Schriftenreihe: | London Mathematical Society lecture note series
282 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book, first published in 2000, focuses on homological aspects of equivariant modules. It presents a homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. It aims to overcome the difficulty of generalising known homological results in representation theory. This book will be of interest to researchers and graduate students in algebra, specialising in commutative ring theory and representation theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvi, 281 pages) |
| ISBN: | 9780511565762 |
| DOI: | 10.1017/CBO9780511565762 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |t From homological algebra |t From commutative ring theory |t Hopf algebras over an arbitrary base |t From representation theory |t Equivariant modules |t Homological aspects of (G, A)-modules |t Matijevic-roberts type theorem |t Highest weight theory |t Highest weight theory over a field |t Donkin systems |t Ringel's theory over field |t Ringel's theory over a commutative ring |t Approximations of equivariant modules |t Approximations of (G, A)-modules |t Application to determinantal rings |
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Datensatz im Suchindex
| _version_ | 1804176884148207616 |
|---|---|
| any_adam_object | |
| author | Hashimoto, Mitsuyasu 1962- |
| author_facet | Hashimoto, Mitsuyasu 1962- |
| author_role | aut |
| author_sort | Hashimoto, Mitsuyasu 1962- |
| author_variant | m h mh |
| building | Verbundindex |
| bvnumber | BV043941886 |
| classification_rvk | SI 320 SK 230 |
| collection | ZDB-20-CBO |
| contents | From homological algebra From commutative ring theory Hopf algebras over an arbitrary base From representation theory Equivariant modules Homological aspects of (G, A)-modules Matijevic-roberts type theorem Highest weight theory Highest weight theory over a field Donkin systems Ringel's theory over field Ringel's theory over a commutative ring Approximations of equivariant modules Approximations of (G, A)-modules Application to determinantal rings |
| ctrlnum | (ZDB-20-CBO)CR9780511565762 (OCoLC)847017850 (DE-599)BVBBV043941886 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565762 |
| format | Electronic eBook |
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| id | DE-604.BV043941886 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511565762 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350856 |
| oclc_num | 847017850 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 281 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Hashimoto, Mitsuyasu 1962- Verfasser aut Auslander-Buchweitz approximations of equivariant modules Mitsuyasu Hashimoto Cambridge Cambridge University Press 2000 1 online resource (xvi, 281 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 282 Title from publisher's bibliographic system (viewed on 05 Oct 2015) From homological algebra From commutative ring theory Hopf algebras over an arbitrary base From representation theory Equivariant modules Homological aspects of (G, A)-modules Matijevic-roberts type theorem Highest weight theory Highest weight theory over a field Donkin systems Ringel's theory over field Ringel's theory over a commutative ring Approximations of equivariant modules Approximations of (G, A)-modules Application to determinantal rings This book, first published in 2000, focuses on homological aspects of equivariant modules. It presents a homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. It aims to overcome the difficulty of generalising known homological results in representation theory. This book will be of interest to researchers and graduate students in algebra, specialising in commutative ring theory and representation theory Algebra, Homological Modules (Algebra) Commutative rings Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 s Homologische Algebra (DE-588)4160598-6 s Approximationstheorie (DE-588)4120913-8 s Modul (DE-588)4129770-2 s Darstellungstheorie (DE-588)4148816-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-79696-5 https://doi.org/10.1017/CBO9780511565762 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hashimoto, Mitsuyasu 1962- Auslander-Buchweitz approximations of equivariant modules From homological algebra From commutative ring theory Hopf algebras over an arbitrary base From representation theory Equivariant modules Homological aspects of (G, A)-modules Matijevic-roberts type theorem Highest weight theory Highest weight theory over a field Donkin systems Ringel's theory over field Ringel's theory over a commutative ring Approximations of equivariant modules Approximations of (G, A)-modules Application to determinantal rings Algebra, Homological Modules (Algebra) Commutative rings Homologische Algebra (DE-588)4160598-6 gnd Approximationstheorie (DE-588)4120913-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Kommutative Algebra (DE-588)4164821-3 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4160598-6 (DE-588)4120913-8 (DE-588)4148816-7 (DE-588)4164821-3 (DE-588)4129770-2 |
| title | Auslander-Buchweitz approximations of equivariant modules |
| title_alt | From homological algebra From commutative ring theory Hopf algebras over an arbitrary base From representation theory Equivariant modules Homological aspects of (G, A)-modules Matijevic-roberts type theorem Highest weight theory Highest weight theory over a field Donkin systems Ringel's theory over field Ringel's theory over a commutative ring Approximations of equivariant modules Approximations of (G, A)-modules Application to determinantal rings |
| title_auth | Auslander-Buchweitz approximations of equivariant modules |
| title_exact_search | Auslander-Buchweitz approximations of equivariant modules |
| title_full | Auslander-Buchweitz approximations of equivariant modules Mitsuyasu Hashimoto |
| title_fullStr | Auslander-Buchweitz approximations of equivariant modules Mitsuyasu Hashimoto |
| title_full_unstemmed | Auslander-Buchweitz approximations of equivariant modules Mitsuyasu Hashimoto |
| title_short | Auslander-Buchweitz approximations of equivariant modules |
| title_sort | auslander buchweitz approximations of equivariant modules |
| topic | Algebra, Homological Modules (Algebra) Commutative rings Homologische Algebra (DE-588)4160598-6 gnd Approximationstheorie (DE-588)4120913-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Kommutative Algebra (DE-588)4164821-3 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Algebra, Homological Modules (Algebra) Commutative rings Homologische Algebra Approximationstheorie Darstellungstheorie Kommutative Algebra Modul |
| url | https://doi.org/10.1017/CBO9780511565762 |
| work_keys_str_mv | AT hashimotomitsuyasu auslanderbuchweitzapproximationsofequivariantmodules |