Modules over Discrete Valuation Rings / / Piotr A. Krylov, Askar A. Tuganbaev.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• VerfasserIn: Krylov, Piotr A.,; Tuganbaev, Askar A.,
• 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
• Physical Description: 1 online resource (VI, 331 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110611144; 9783110494969; 9783110762488; 9783110719550; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• ISSN: 0938-6572
• DOI: 10.1515/9783110611144
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group. ContentsPreliminariesBasic factsEndomorphism rings of divisible and complete modulesRepresentation of rings by endomorphism ringsTorsion-free modulesMixed modulesDeterminity of modules by their endomorphism ringsModules with many endomorphisms or automorphisms