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Abelian groups and representations of finite partially ordered sets

Abelian groups and representations of finite partially ordered sets

자료유형
단행본
개인저자
Arnold, David M.
서명 / 저자사항
Abelian groups and representations of finite partially ordered sets / David M. Arnold.
발행사항
New York :   Springer ,   c2000.  
형태사항
xii, 244 p. ; 25 cm.
총서사항
CMS books in mathematics ; 2
ISBN
038798982X (hard cover : alk. paper) 9780387989822
서지주기
Includes bibliographical references (p. [223]-234) and indexes.
일반주제명
Abelian groups. Partially ordered sets.
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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

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.2 A753a 등록번호 121173451 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

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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