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...
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Online Access: |
Full text (MCPHS users only) |
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Main Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
New Jersey. :
World Scientific,
2011
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Series: | Series in algebra ;
v. 11. |
Subjects: | |
Local Note: | ProQuest Ebook Central |
Table of 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.