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Abelian groups and representations of finite partially ordered sets

Author: David M Arnold
Publisher: New York : Springer, ©2000.
Series: CMS books in mathematics, 2.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings,  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David M Arnold
ISBN: 038798982X 9780387989822
OCLC Number: 43114275
Description: xii, 244 pages ; 25 cm.
Contents: 1. Representations of Posets over a Field. 1.1. Vector Spaces with Distinguished Subspaces. 1.2. Representations of Posets and Matrix Problems. 1.3. Finite Representation Type. 1.4. Tame and Wild Representation Type. 1.5. Generic Representations --
2. Torsion-Free Abelian Groups. 2.1. Quasi-isomorphism and Isomorphism at p. 2.2. Near-isomorphism of Finite Rank Groups. 2.3. Stable Range Conditions for Finite Rank Groups. 2.4. Self-Small Groups and Endomorphism Rings --
3. Butler Groups. 3.1. Types and Completely Decomposable Groups. 3.2. Characterizations of Finite Rank Groups. 3.3. Quasi-isomorphism and Q-Representations of Posets. 3.4. Countable Groups. 3.5. Quasi-Generic Groups --
4. Representations over a Discrete Valuation Ring.
Series Title: CMS books in mathematics, 2.
Responsibility: David M. Arnold.
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From the reviews:MATHEMATICAL REVIEWS"The book provides a rich source or a variety of readers. As noted above, it offers an excellent and much-needed introduction to the subject of representations of Read more...

 
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