Format:
1 Online-Ressource ( VI, 330 Seiten)
Edition:
2nd, rev. and ext.
ISBN:
9783110611144
,
9783110609851
Series Statement:
#43,2#De Gruyter Expositions in Mathematics volume 43
Content:
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
Note:
Frontmatter -- -- Contents -- -- Introduction -- -- 1. Preliminaries -- -- 2. Basic facts -- -- 3. Endomorphism rings of divisible and complete modules -- -- 4. Representation of rings by endomorphism rings -- -- 5. Torsion-free modules -- -- 6. Mixed modules -- -- 7. Determinity of modules by their endomorphism rings -- -- 8. Modules with many endomorphisms or automorphisms -- -- 9. Appendix -- -- Bibliography -- -- Symbols -- -- Index
,
Mode of access: Internet via World Wide Web.
,
In English
Additional Edition:
ISBN 9783110609776
Additional Edition:
Erscheint auch als Druck-Ausgabe Krylov, Petr Andreevič Modules over discrete valuation rings Berlin : De Gruyter, 2018 ISBN 3110609770
Additional Edition:
ISBN 9783110609776
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783110609776
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783110609851
Language:
English
Keywords:
Modultheorie
;
Diskreter Bewertungsring
DOI:
10.1515/9783110611144
URL:
Volltext
(lizenzpflichtig)
Author information:
Krylov, Petr Andreevič
Author information:
Tuganbaev, Askar A.
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