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Abelian groups and representations of finite partially ordered sets

Abelian groups and representations of finite partially ordered sets

Material type
단행본
Personal Author
Arnold, David M.
Title Statement
Abelian groups and representations of finite partially ordered sets / David M. Arnold.
Publication, Distribution, etc
New York :   Springer ,   c2000.  
Physical Medium
xii, 244 p. ; 25 cm.
Series Statement
CMS books in mathematics ; 2
ISBN
038798982X (hard cover : alk. paper) 9780387989822
Bibliography, Etc. Note
Includes bibliographical references (p. [223]-234) and indexes.
Subject Added Entry-Topical Term
Abelian groups. Partially ordered sets.
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001 000045456199
005 20080724160830
008 991214s2000 nyu b 001 0 eng
010 ▼a 99087081
020 ▼a 038798982X (hard cover : alk. paper)
020 ▼a 9780387989822
035 ▼a (KERIS)REF000005388661
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
042 ▼a pcc
050 0 0 ▼a QA180 ▼b .A76 2000
082 0 0 ▼a 512/.2 ▼2 22
090 ▼a 512.2 ▼b A753a
100 1 ▼a Arnold, David M.
245 1 0 ▼a Abelian groups and representations of finite partially ordered sets / ▼c David M. Arnold.
260 ▼a New York : ▼b Springer , ▼c c2000.
300 ▼a xii, 244 p. ; ▼c 25 cm.
440 0 ▼a CMS books in mathematics ; ▼v 2
504 ▼a Includes bibliographical references (p. [223]-234) and indexes.
650 0 ▼a Abelian groups.
650 0 ▼a Partially ordered sets.
945 ▼a KINS

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.2 A753a Accession No. 121173451 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of 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 ?-Representations of Posets.- 3.4 Countable Groups.- 3.5 Quasi-Generic Groups.- 4 Representations over a Discrete Valuation Ring.- 4.1 Finite and Rank-Finite Representation Type.- 4.2 Wild Modulo p Representation Type.- 4.3 Finite Rank Butler Groups and Isomorphism at p.- 5 Almost Completely Decomposable Groups.- 5.1 Characterizations and Properties.- 5.2 Isomorphism at p and Representation Type.- 5.3 Uniform Groups.- 5.4 Primary Regulating Quotient Groups.- 6 Representations over Fields and Exact Sequences.- 6.1 Projectives, Injectives, and Exact Sequences.- 6.2 Coxeter Correspondences.- 6.3 Almost Split Sequences.- 6.4 A Torsion Theory and Localizations.- 7 Finite Rank Butler Groups.- 7.1 Projectives, Injectives, and Exact Sequences.- 7.2 Endomorphism Rings.- 7.3 Bracket Groups.- 8 Applications of Representations and Butler Groups.- 8.1 Torsion-Free Modules over Discrete Valuation Rings.- 8.2 Finite Valuated Groups.- References.- List of Symbols.- Index of Terms.


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