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Krylov, Piotr A.

Modules over discrete valuation domains / by Piotr A. Krylov and Askar A. Tuganbaev. - Berlin ; New York : De Gruyter, ©2008. - 1 online resource (ix, 357 pages) - De Gruyter expositions in mathematics ; 43 . - De Gruyter expositions in mathematics ; 43. .

Includes bibliographical references and index.

Frontmatter; Contents; Chapter 1 Preliminaries; Chapter 2 Basic facts; Chapter 3 Endomorphism rings of divisible and complete modules; Chapter 4 Representation of rings by endomorphism rings; Chapter 5 Torsion-free modules; Chapter 6 Mixed modules; Chapter 7 Determinity of modules by their endomorphism rings; Chapter 8 Modules with many endomorphisms or automorphisms; Backmatter.

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.


In English.

ISBN: 9783110205787 (electronic bk.) 3110205785 (electronic bk.) 1282196545 9781282196544 9786612196546 6612196548

Standard No.: 10.1515/9783110205787 doi

Nat. Bib. No.: 08,A10,0854 dnb

Nat. Bib. Agency Control No.: 1119937973 DE-101

Subjects--Topical Terms:
Commutative algebra.
Modules (Algebra)
Algèbre commutative.
Modules (Algèbre)
MATHEMATICS--Algebra--Intermediate.
Commutative algebra.
Modules (Algebra)
Diskreter Bewertungsring
Modultheorie

Index Terms--Genre/Form:
Electronic books.
Electronic books.

LC Class. No.: QA247.3 / .K79 2008eb

Dewey Class. No.: 512/.42