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Modules Over Discrete Valuation Rings
Hardcover
Series: de Gruyter Expositions in Mathematics, Book 43
ISBN13: 9783110609776
Publisher: de Gruyter
Published: Sep 24 2018
Pages: 337
Weight: 1.55
Height: 1.00 Width: 6.80 Depth: 9.70
Language: English
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
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