Semidistributive modules and rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1998
|
| Schriftenreihe: | Mathematics and its applications
449 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 352 S. |
| ISBN: | 0792352092 |
Internformat
MARC
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| 650 | 4 | |a Module injectif | |
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Datensatz im Suchindex
| _version_ | 1804126929772609536 |
|---|---|
| adam_text | SEMIDISTRIBUTIVE MODULES AND RINGS BY ASKAR A. TUGANBAEV MOSCOW POWER
ENGINEERING INSTITUTE, TECHNOLOGICAL UNIVERSITY, MOSCOW, RUSSIA KLUWER
ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS INTRODUCTION
VII SYMBOLS X 1 RADICALS, LOCAL AND SEMISIMPLE MODULES 1 1.1 MAXIMAL
SUBMODULES AND THE JACOBSON RADICAL 1 1.2 LOCAL AND UNISERIAL MODULES 6
1.3 SEMISIMPLE AND ARTINIAN MODULES 11 1.4 THE PRIME RADICAL 21 2
PROJECT! VE AND INJECTIVE MODULES 25 2.1 FREE AND PROJECTIVE MODULES 25
2.2 INJERTIVE MODULES 31 2.3 INJECTIVE HULL , 35 3 BEZOUT AND REGULAR
MODULES 47 3.1 REGULAR MODULES 47 3.2 UNIT-REGULAR RINGS 52 3.3
SEMILOCAL RINGS AND DISTRIBUTIVITY 54 3.4 STRONGLY REGULAR RINGS 59 3.5
BEZOUT RINGS ^ 68 4 CONTINUOUS AND FINITE-DIMENSIONAL MODULES 73 4.1
CLOSED SUBMODULES 73 4.2 CONTINUOUS MODULES 78 4.3 FINII.E-DIMENSIONAL
MODULES 86 4.4 NONSINGULAR 7R-INJECTIVE MODULES 96 5 RINGS OF QUOTIENTS
101 5.1 ORE SETS 101 5.2 DENOMINATOR SETS AND LOCALIZABLE RINGS ILL 5.3
MAXIMAL RINGS OF QUOTIENTS 121 VI 6 FLAT MODULES AND SEMIPERFECT RINGS
133 6.1 CHARACTERIZATIONS OF FLAT MODULES 133 6.2 SUBMODULES OF FLAT
MODULES 139 6.3 SEMIPERFECT AND PERFECT RINGS 149 7 SEMIHEREDITARY AND
INVARIANT RINGS 159 7.1 COHERENT AND REDUCED RINGS 159 7.2 INVARIANT
RINGS 168 7.3 RINGS WITH INTEGRALLY CLOSED FACTOR RINGS 175 8
ENDOMORPHISM RINGS 187 8.1 MODULES OVER ENDOMORPHISM RINGS AND QUASI
INJECTIVE MODULES . . . 187 8.2 NILPOTENT ENDOMORPHISMS 195 8.3 STRONGLY
INDECOMPOSABLE MODULES 205 9 DISTRIBUTIVE RINGS WITH MAXIMUM CONDITIONS
209 9.1 ARITHMETICS OF IDEALS 209 9.2 NOETHERIAN RINGS 213 9.3 CLASSICAL
RINGS OF QUOTIENTS OF DISTRIBUTIVE RINGS 221 9.4 RINGS ALGEBRAIC OVER
THEIR CENTRE 225 10 SELF-INJECTIVE AND SKEW-INJECTIVE RINGS 237 10.1
QUASI-FROBENIUS RINGS AND DIRECT SUMS OF INJECTIVE MODULES 237 10.2
CYCLIC 7R-INJECTIVE MODULES 240 10.3 INTEGRALLY CLOSED NOETHERIAN RINGS
243 10.4 CYCLIC SKEW-INJECTIVE MODULES 250 10.5 COUNTABLY INJECTIVE
RINGS 257 11 SEMIDISTRIBUTIVE AND SERIAL RINGS 261 11.1 SEMIDISTRIBUTIVE
MODULES 261 11.2 SEMIDISTRIBUTIVE RINGS 272 11.3 SERIAL MODULES AND
RINGS 285 12 MONOID RINGS AND RELATED TOPICS 301 12.1 SERIES AND
POLYNOMIAL RINGS 301 12.2 QUATERNION ALGEBRAS - 311 12.3 SUBGROUPS,
SUBMONOIDS, AND ANNIHILATORS 318 12.4 REGULAR GROUP RINGS 322 12.5
CANCELLATIVE MONOIDS 327 12.6 SEMILATTICES AND REGULAR MONOIDS 334
BIBLIOGRAPHY 337 INDEX 350
|
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| id | DE-604.BV012306473 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:25:16Z |
| institution | BVB |
| isbn | 0792352092 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008342122 |
| oclc_num | 39391258 |
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| owner | DE-739 |
| owner_facet | DE-739 |
| physical | X, 352 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Tuganbaev, Askar A. Verfasser (DE-588)103454148X aut Semidistributive modules and rings by Askar A. Tuganbaev Dordrecht [u.a.] Kluwer 1998 X, 352 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 449 Anneau Bezout Anneau polynôme Anneau semi-distributif Anneaux (algèbre) ram Module injectif Module projectif Module semi-distributif Modules (algèbre) ram Módulos larpcal Radical Jacobson Álgebra larpcal Modules (Algebra) Rings (Algebra) Mathematics and its applications 449 (DE-604)BV008163334 449 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008342122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tuganbaev, Askar A. Semidistributive modules and rings Mathematics and its applications Anneau Bezout Anneau polynôme Anneau semi-distributif Anneaux (algèbre) ram Module injectif Module projectif Module semi-distributif Modules (algèbre) ram Módulos larpcal Radical Jacobson Álgebra larpcal Modules (Algebra) Rings (Algebra) |
| title | Semidistributive modules and rings |
| title_auth | Semidistributive modules and rings |
| title_exact_search | Semidistributive modules and rings |
| title_full | Semidistributive modules and rings by Askar A. Tuganbaev |
| title_fullStr | Semidistributive modules and rings by Askar A. Tuganbaev |
| title_full_unstemmed | Semidistributive modules and rings by Askar A. Tuganbaev |
| title_short | Semidistributive modules and rings |
| title_sort | semidistributive modules and rings |
| topic | Anneau Bezout Anneau polynôme Anneau semi-distributif Anneaux (algèbre) ram Module injectif Module projectif Module semi-distributif Modules (algèbre) ram Módulos larpcal Radical Jacobson Álgebra larpcal Modules (Algebra) Rings (Algebra) |
| topic_facet | Anneau Bezout Anneau polynôme Anneau semi-distributif Anneaux (algèbre) Module injectif Module projectif Module semi-distributif Modules (algèbre) Módulos Radical Jacobson Álgebra Modules (Algebra) Rings (Algebra) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008342122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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