Modules over Discrete Valuation Rings

Piotr A. Krylov, Askar A. Tuganbaev

ISBN 10: 3110609770 / ISBN 13: 9783110609776

Published by De Gruyter, DE, 2018

About this Item

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

Bibliographic Details

• Title: Modules over Discrete Valuation Rings
• Publisher: De Gruyter, DE
• Publication Date: 2018
• Language: English
• ISBN 10: 3110609770
• ISBN 13: 9783110609776
• Binding: Hardback
• Edition: 2nd, rev. and ext.
• Condition: New
• Dimensions: 6.69W x 0.81H x 9.61D inches 6.69 inches width by 0.81 inches height by 9.61 inches depth
• Weight: 712 grams

About this title

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

About the Author

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