| 000 | 00932camuu22002894a 4500 | |
| 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 |
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 |
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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