Modules over Discrete Valuation Rings
Language: English
Published by De Gruyter, DE, 2018
Series: Book 71 of 100 - De Gruyter Expositions in Mathematics
- Hardcover
- New
Seller: Rarewaves USA, HEBRON, KY, U.S.A.Rarewaves USA
AbeBooks seller since June 10, 2025
Condition: New
US$ 216.60
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Add to basketItem description from seller
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.
Seller Inventory # LU-9783110609776
- Title
- Modules over Discrete Valuation Rings
- Author
- Piotr A. Krylov, Askar A. Tuganbaev
- Publisher
- De Gruyter, DE
- Publication year
- 2018
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3110609770
- ISBN 13
- 9783110609776
- Edition
- 2nd, rev. and ext.
- Item weight
- 712 grams
- Dimensions
- 6.69 x 0.81 x 9.61 inches
- Series
- Book 71 of 100: De Gruyter Expositions in Mathematics
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 the title" may belong to another edition of this title.
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