Rings related to stable range conditions /

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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Chen, Huanyin
Format: Electronic eBook
Language:Inglés
Published: New Jersey. : World Scientific, ©2011.
Series:Series in algebra ; v. 11.
Subjects:
Rings (Algebra)
Modules (Algebra)
Anneaux (Algèbre)
Modules (Algèbre)
MATHEMATICS > Algebra > Intermediate.
Online Access:Texto completo
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.

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