Modules over Discrete Valuation Rings / / Piotr A. Krylov, Askar A. Tuganbaev.
This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open pr...
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Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Edition: | 2nd, rev. and ext. |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
43 |
Online Access: | |
Physical Description: | 1 online resource (VI, 331 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Introduction
- 1. Preliminaries
- 2. Basic facts
- 3. Endomorphism rings of divisible and complete modules
- 4. Representation of rings by endomorphism rings
- 5. Torsion-free modules
- 6. Mixed modules
- 7. Determinity of modules by their endomorphism rings
- 8. Modules with many endomorphisms or automorphisms
- 9. Appendix
- Bibliography
- Symbols
- Index