Rings related to stable range conditions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey.
World Scientific
©2011
|
| Schriftenreihe: | Series in algebra
v. 11 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories Includes bibliographical references (pages 629-655) and index Preface; Notational Conventions; Contents; 1. Stable Range One; 2. Unit 1-Stable Range; 3. On m-Fold Stable Rings; 4. Strongly Stable Rings; 5. Weakly Stable Rings; 6. Related Comparability; 7. Generalized Stable Rings; 8. QB-Rings; 9. PB-Rings; 10. Power-Cancellation; 11. Stably Euclidean Rings; 12. The n-Stable Range Condition; 13. Stable Range for Ideals; 14. Diagonal Reduction; 15. Clean Properties, I; 16. Clean Properties, II; 17. Abelian Rings and Exchange; Bibliography; Index |
| Beschreibung: | 1 Online-Ressource (xviii, 661 pages) |
| ISBN: | 9789814329712 9789814329729 9814329711 981432972X |
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| 490 | 0 | |a Series in algebra |v v. 11 | |
| 500 | |a This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories | ||
| 500 | |a Includes bibliographical references (pages 629-655) and index | ||
| 500 | |a Preface; Notational Conventions; Contents; 1. Stable Range One; 2. Unit 1-Stable Range; 3. On m-Fold Stable Rings; 4. Strongly Stable Rings; 5. Weakly Stable Rings; 6. Related Comparability; 7. Generalized Stable Rings; 8. QB-Rings; 9. PB-Rings; 10. Power-Cancellation; 11. Stably Euclidean Rings; 12. The n-Stable Range Condition; 13. Stable Range for Ideals; 14. Diagonal Reduction; 15. Clean Properties, I; 16. Clean Properties, II; 17. Abelian Rings and Exchange; Bibliography; Index | ||
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Mathematics | |
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
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Datensatz im Suchindex
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| author | Chen, Huanyin |
| author_facet | Chen, Huanyin |
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| bvnumber | BV043127091 |
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| ctrlnum | (OCoLC)733048134 (DE-599)BVBBV043127091 |
| dewey-full | 512.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.4 |
| dewey-search | 512.4 |
| dewey-sort | 3512.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043127091 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:16Z |
| institution | BVB |
| isbn | 9789814329712 9789814329729 9814329711 981432972X |
| language | English |
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| spelling | Chen, Huanyin Verfasser aut Rings related to stable range conditions Huanyin Chen New Jersey. World Scientific ©2011 1 Online-Ressource (xviii, 661 pages) txt rdacontent c rdamedia cr rdacarrier Series in algebra v. 11 This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories Includes bibliographical references (pages 629-655) and index Preface; Notational Conventions; Contents; 1. Stable Range One; 2. Unit 1-Stable Range; 3. On m-Fold Stable Rings; 4. Strongly Stable Rings; 5. Weakly Stable Rings; 6. Related Comparability; 7. Generalized Stable Rings; 8. QB-Rings; 9. PB-Rings; 10. Power-Cancellation; 11. Stably Euclidean Rings; 12. The n-Stable Range Condition; 13. Stable Range for Ideals; 14. Diagonal Reduction; 15. Clean Properties, I; 16. Clean Properties, II; 17. Abelian Rings and Exchange; Bibliography; Index Algebra Mathematics MATHEMATICS / Algebra / Intermediate bisacsh Mathematik Rings (Algebra) Modules (Algebra) Ringtheorie (DE-588)4126571-3 gnd rswk-swf Ringtheorie (DE-588)4126571-3 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373228 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chen, Huanyin Rings related to stable range conditions Algebra Mathematics MATHEMATICS / Algebra / Intermediate bisacsh Mathematik Rings (Algebra) Modules (Algebra) Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4126571-3 |
| title | Rings related to stable range conditions |
| title_auth | Rings related to stable range conditions |
| title_exact_search | Rings related to stable range conditions |
| title_full | Rings related to stable range conditions Huanyin Chen |
| title_fullStr | Rings related to stable range conditions Huanyin Chen |
| title_full_unstemmed | Rings related to stable range conditions Huanyin Chen |
| title_short | Rings related to stable range conditions |
| title_sort | rings related to stable range conditions |
| topic | Algebra Mathematics MATHEMATICS / Algebra / Intermediate bisacsh Mathematik Rings (Algebra) Modules (Algebra) Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Algebra Mathematics MATHEMATICS / Algebra / Intermediate Mathematik Rings (Algebra) Modules (Algebra) Ringtheorie |
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