Modules over Discrete Valuation Rings (De Gruyter Expositions in Mathematics, 43) - Hardcover

Book 71 of 100: De Gruyter Expositions in Mathematics

Krylov, Piotr A.; Tuganbaev, Askar A.

 
9783110609776: Modules over Discrete Valuation Rings (De Gruyter Expositions in Mathematics, 43)
Hardcover
ISBN 10: 3110609770 ISBN 13: 9783110609776
Publisher: De Gruyter, 2018

Synopsis

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

"synopsis" may belong to another edition of this title.

About the Author

Piotr A. Krylov, Tomsk State University, Russia; Askar A. Tuganbaev, National Research University MPEI, Russia.

"About this title" may belong to another edition of this title.

Publisher
De Gruyter
Publication date
2018
Language
English
ISBN 10 
3110609770
ISBN 13 
9783110609776
Binding
Hardcover
Edition number
2
Number of pages
337