Modules over Discrete Valuation Rings 2nd Edition by Piotr A Krylov 9783110609851 3110609851

Modules over Discrete Valuation Rings 2nd Edition Piotr A Krylov – Ebook PDF Instant Download/Delivery ISBN(s): 9783110609851, 3110609851

Product details:

• ISBN 10: 3110609851
• ISBN 13: 9783110609851
• Author: Piotr A Krylov

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. Contents Preliminaries Basic facts Endomorphism rings of divisible and complete modules Representation of rings by endomorphism rings Torsion-free modules Mixed modules Determinity of modules by their endomorphism rings Modules with many endomorphisms or automorphisms

Table contents:

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

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