: Piotr A. Krylov, Askar A. Tuganbaev
: Modules over Discrete Valuation Domains
: Walter de Gruyter GmbH& Co.KG
: 9783110205787
: De Gruyter Expositions in MathematicsISSN
: 1
: CHF 186.00
:
: Allgemeines, Lexika
: English
: 366
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
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This book provides the first systematic treatment of modules over discrete valuation domains which plays 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 which is supplemented by exercises and interesting open problems.

  • An important contribution to commutative algebra.
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Piotr A. Krylov , Tomsk State University, Russia;Askar A. Tuganbaev, Russian State University of Trade and Economics, Moscow, Russia.

Frontmatter1
Contents5
Chapter 1 Preliminaries11
Chapter 2 Basic facts56
Chapter 3 Endomorphism rings of divisible and complete modules96
Chapter 4 Representation of rings by endomorphism rings126
Chapter 5 Torsion-free modules176
Chapter 6 Mixed modules213
Chapter 7 Determinity of modules by their endomorphism rings282
Chapter 8 Modules with many endomorphisms or automorphisms318
Backmatter343