Rings, modules and algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Edinburgh
Oliver & Boyd
1971
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 311 S. |
| ISBN: | 0050021915 |
Internformat
MARC
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| 100 | 1 | |a Adamson, Iain T. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Rings, modules and algebras |c Iain T. Adamson |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Edinburgh |b Oliver & Boyd |c 1971 | |
| 300 | |a 311 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Algèbre homologique |2 ram | |
| 650 | 7 | |a Anneaux (algèbre) |2 ram | |
| 650 | 7 | |a Modules (algèbre) |2 ram | |
| 650 | 7 | |a algèbre homologique |2 inriac | |
| 650 | 7 | |a catégorie abélienne |2 inriac | |
| 650 | 7 | |a module semi-simple |2 inriac | |
| 650 | 7 | |a module |2 inriac | |
| 650 | 7 | |a théorie catégorie |2 inriac | |
| 650 | 4 | |a Algebra, Homological | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 4 | |a Rings (Algebra) | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001945800 | ||
Datensatz im Suchindex
| _version_ | 1804117391145172992 |
|---|---|
| adam_text | CONTENTS
Preface v
CHAPTER 1
RINGS AND IDEALS
§1 Internal laws of composition 1
§2 Semigroups, groups and rings 7
§3 Subrings and ideals 14
§4 Homomorphisms of rings 23
§5 Extensions of rings 29
CHAPTER 2
MODULES
§6 Modules, submodules and factor modules 36
§7 Homomorphisms of modules 45
§8 Groups of homomorphisms 50
§9 Direct products and sums 59
§10 Direct and inverse limits 68
§11 Free, projective and injective modules 76
§12 Tensor products 91
§13 Composition series 105
§14 Artinian and Noetherian modules and rings 112
CHAPTER 3
CATEGORIES
§15 Categories 121
§16 Abelian categories 132
§17 Functors 145
§18 Relations in an abelian category 151
CHAPTER 4
STRUCTURE OF RINGS
§19 Simple modules 162
§20 Semisimple modules 164
§21 Centralisers and bicentralisers of modules 172
§22 Semisimple and simple rings 176
§23 The radical of a ring 190
CHAPTER 5
ALGEBRAS
§24 Tensor products of algebras 201
§25 Simple algebras 212
§26 Splitting fields of simple algebras 223
§27 Separable algebras 233
CHAPTER 6
HOMOLOGY
§28 Complexes and homology 241
§29 Resolutions and coresolutions 254
§30 Derived functors 265
§31 Cohomology of algebras 279
§32 Algebras of dimension zero 287
§33 Extensions of algebras 297
Reading list 303
Index 305
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV003103230 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:53:39Z |
| institution | BVB |
| isbn | 0050021915 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001945800 |
| oclc_num | 292838 |
| open_access_boolean | |
| owner | DE-384 DE-19 DE-BY-UBM DE-29T DE-188 |
| owner_facet | DE-384 DE-19 DE-BY-UBM DE-29T DE-188 |
| physical | 311 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Oliver & Boyd |
| record_format | marc |
| spelling | Adamson, Iain T. Verfasser aut Rings, modules and algebras Iain T. Adamson 1. publ. Edinburgh Oliver & Boyd 1971 311 S. txt rdacontent n rdamedia nc rdacarrier Algèbre homologique ram Anneaux (algèbre) ram Modules (algèbre) ram algèbre homologique inriac catégorie abélienne inriac module semi-simple inriac module inriac théorie catégorie inriac Algebra, Homological Modules (Algebra) Rings (Algebra) HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001945800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adamson, Iain T. Rings, modules and algebras Algèbre homologique ram Anneaux (algèbre) ram Modules (algèbre) ram algèbre homologique inriac catégorie abélienne inriac module semi-simple inriac module inriac théorie catégorie inriac Algebra, Homological Modules (Algebra) Rings (Algebra) |
| title | Rings, modules and algebras |
| title_auth | Rings, modules and algebras |
| title_exact_search | Rings, modules and algebras |
| title_full | Rings, modules and algebras Iain T. Adamson |
| title_fullStr | Rings, modules and algebras Iain T. Adamson |
| title_full_unstemmed | Rings, modules and algebras Iain T. Adamson |
| title_short | Rings, modules and algebras |
| title_sort | rings modules and algebras |
| topic | Algèbre homologique ram Anneaux (algèbre) ram Modules (algèbre) ram algèbre homologique inriac catégorie abélienne inriac module semi-simple inriac module inriac théorie catégorie inriac Algebra, Homological Modules (Algebra) Rings (Algebra) |
| topic_facet | Algèbre homologique Anneaux (algèbre) Modules (algèbre) algèbre homologique catégorie abélienne module semi-simple module théorie catégorie Algebra, Homological Modules (Algebra) Rings (Algebra) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001945800&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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