Rings related to stable range conditions /:
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 the...
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: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xviii, 661 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 629-655) and index. |
| ISBN: | 9789814329729 981432972X |
| ISSN: | 2010-281X ; |
Internformat
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| 245 | 1 | 0 | |a Rings related to stable range conditions / |c Huanyin Chen. |
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| 490 | 1 | |a Series in algebra, |x 2010-281X ; |v v. 11 | |
| 520 | |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. | ||
| 504 | |a Includes bibliographical references (pages 629-655) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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. | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn733048134 |
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| _version_ | 1816881763241164800 |
| adam_text | |
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| author | Chen, Huanyin |
| author_GND | http://id.loc.gov/authorities/names/no2011049629 |
| author_facet | Chen, Huanyin |
| author_role | |
| author_sort | Chen, Huanyin |
| author_variant | h c hc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
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| contents | 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. |
| ctrlnum | (OCoLC)733048134 |
| 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 | ZDB-4-EBA-ocn733048134 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:53Z |
| institution | BVB |
| isbn | 9789814329729 981432972X |
| issn | 2010-281X ; |
| language | English |
| oclc_num | 733048134 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 661 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific, |
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| series | Series in algebra ; |
| series2 | Series in algebra, |
| spelling | Chen, Huanyin. https://id.oclc.org/worldcat/entity/E39PCjMht6KRjFqRcgxTYgHq6X http://id.loc.gov/authorities/names/no2011049629 Rings related to stable range conditions / Huanyin Chen. New Jersey. : World Scientific, ©2011. 1 online resource (xviii, 661 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Series in algebra, 2010-281X ; 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. Print version record. 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. Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux (Algèbre) Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Rings (Algebra) fast has work: Rings related to stable range conditions (Text) https://id.oclc.org/worldcat/entity/E39PCH4gTrrbVcJqJ9xTcwfmFq https://id.oclc.org/worldcat/ontology/hasWork Print version: Chen, Huanyin. Rings related to stable range conditions. Singapore ; Hackensack, N.J. : World Scientific, ©2011 9814329711 (OCoLC)668195061 Series in algebra ; v. 11. http://id.loc.gov/authorities/names/n94034299 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373228 Volltext |
| spellingShingle | Chen, Huanyin Rings related to stable range conditions / Series in algebra ; 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. Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux (Algèbre) Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Rings (Algebra) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85114140 http://id.loc.gov/authorities/subjects/sh85086470 |
| 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 | Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Anneaux (Algèbre) Modules (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Modules (Algebra) fast Rings (Algebra) fast |
| topic_facet | Rings (Algebra) Modules (Algebra) Anneaux (Algèbre) Modules (Algèbre) MATHEMATICS Algebra Intermediate. |
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