Distributive modules and related topics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Gordon & Breach
1999
|
| Series: | Algebra, logic and applications
12 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 258 S. |
| ISBN: | 9056991922 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
. Preface ix
Symbols xv
1 Basic notions 1
1.1 Radicals, idempotents, and nilpotents 1
1.2 Local and semiperfect rings 4
1.3 Injective and finite dimensional modules 5
1.4 Nonsingular ring and modules 10
1.5 Rings with maximum conditions 16
1.6 Classical localizations 19
2 Distributive modules 33
2.1 Uniserial modules 33
2.2 Countably distributive modules 36
2.3 Bezout modules 41
2.4 Modules over semiperfect rings 44
2.5 Closed submodules 47
2.6 Endomorphisms 49
2.7 Distributivity and spectra 59
3 Semidistributive modules and rings 63
3.1 Distributive Goldie rings 63
3.2 Distributive Noetherian rings 71
3.3 Semidistributive modules 78
3.4 Serial modules and rings 86
3.5 Semidistributive rings 100
3.6 Distributively generated modules 111
vii
viii CONTENTS
4 Flat modules and invariant rings 115
4.1 Characterizations of flat modules 115
4.2 Submodules of flat modules and p/ rings 121
4.3 Coherent and reduced rings 133
4.4 Invariant rings 143
4.5 Regular and countably injective rings 150
5 Rings related to commutative 157
5.1 Bezout rings 157
5.2 Rings algebraic over their centre 161
5.3 Rings module finite over their centre 169
5.4 Commutative rings 173
6 Ring constructions 181
6.1 Endomorphism rings 181
6.2 Maximal rings of quotients 190
6.3 Quaternion algebras 199
6.4 Polynomial rings 208
6.5 Series rings 219
6.6 Pierce stalks and exchange rings 229
Bibliography 239
Index 256
|
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| indexdate | 2024-07-09T18:28:36Z |
| institution | BVB |
| isbn | 9056991922 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008481909 |
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| physical | XV, 258 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Gordon & Breach |
| record_format | marc |
| series | Algebra, logic and applications |
| series2 | Algebra, logic and applications |
| spelling | Tuganbaev, Askar A. Verfasser (DE-588)103454148X aut Distributive modules and related topics Askar Tuganbaev Amsterdam Gordon & Breach 1999 XV, 258 S. txt rdacontent n rdamedia nc rdacarrier Algebra, logic and applications 12 RING THEORY (ALGEBRA) RINGTHEORIE (ALGEBRA) THÉORIE DES ANNEAUX (ALGÈBRE) Algebra, logic and applications 12 (DE-604)BV002639285 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008481909&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tuganbaev, Askar A. Distributive modules and related topics Algebra, logic and applications RING THEORY (ALGEBRA) RINGTHEORIE (ALGEBRA) THÉORIE DES ANNEAUX (ALGÈBRE) |
| title | Distributive modules and related topics |
| title_auth | Distributive modules and related topics |
| title_exact_search | Distributive modules and related topics |
| title_full | Distributive modules and related topics Askar Tuganbaev |
| title_fullStr | Distributive modules and related topics Askar Tuganbaev |
| title_full_unstemmed | Distributive modules and related topics Askar Tuganbaev |
| title_short | Distributive modules and related topics |
| title_sort | distributive modules and related topics |
| topic | RING THEORY (ALGEBRA) RINGTHEORIE (ALGEBRA) THÉORIE DES ANNEAUX (ALGÈBRE) |
| topic_facet | RING THEORY (ALGEBRA) RINGTHEORIE (ALGEBRA) THÉORIE DES ANNEAUX (ALGÈBRE) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008481909&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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