Abelian groups and representations to finite partially ordered sets:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Schriftenreihe: | Canadian Mathematical Society: CMS books in mathematics
2 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009031965&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XII, 244 S. |
| ISBN: | 038798982X |
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Datensatz im Suchindex
| _version_ | 1820952942942879744 |
|---|---|
| adam_text |
DAVID M. ARNOLD
ABELIAN GROUPS AND
REPRESENTATIONS
OF
FINITE
PARTIALLY
ORDERED
SETS
SPRINGER
":V-'33-LIK \
CONTENTS
PREFACE VII
1 REPRESENTATIONS OF POSETS OVER A FIELD 1
1.1 VECTOR SPACES WITH DISTINGUISHED SUBSPACES 1
1.2 REPRESENTATIONS OF POSETS AND MATRIX PROBLEMS 10
1.3 FINITE REPRESENTATION TYPE 19
1.4 TAME AND WILD REPRESENTATION TYPE 31
1.5 GENERIC REPRESENTATIONS 39
2 TORSION-FREE ABELIAN CROUPS 47
2.1 QUASI-ISOMORPHISM AND ISOMORPHISM AT
P
47
2.2
NEAR-ISOMORPHISM OF FINITE RANK GROUPS 56
2.3 STABLE RANGE CONDITIONS FOR FINITE RANK GROUPS 62
2.4 SELF-SMALL GROUPS AND ENDOMORPHISM RINGS 69
3
BUTLER GROUPS 76
3.1 TYPES AND COMPLETELY DECOMPOSABLE GROUPS 76
3.2 CHARACTERIZATIONS OF FINITE RANK GROUPS 88
3.3 QUASI-ISOMORPHISM AND Q-REPRESENTATIONS OF POSETS 100
3.4
COUNTABLE GROUPS 105
3.5 QUASI-GENERIC GROUPS ILL
4 REPRESENTATIONS OVER A DISCRETE VALUATION RING 126
4.1 FINITE AND RANK-FINITE REPRESENTATION TYPE 126
4.2 WILD MODULO
P
REPRESENTATION TYPE 135
4.3
FINITE RANK BUTLER GROUPS AND ISOMORPHISM AT
P
140
XII CONTENTS
5 ALMOST COMPLETELY DECOMPOSABLE GROUPS 144
5.1 CHARACTERIZATIONS AND PROPERTIES 144
5.2 ISOMORPHISM AT
P
AND REPRESENTATION TYPE 154
5.3
UNIFORM GROUPS 164
5.4 PRIMARY REGULATING QUOTIENT GROUPS 169
6 REPRESENTATIONS OVER FIELDS AND EXACT SEQUENCES 173
6.1 PROJECTIVES, INJECTIVES, AND EXACT SEQUENCES 173
6.2 COXETER CORRESPONDENCES 178
6.3 ALMOST SPLIT SEQUENCES 187
6.4 A TORSION THEORY AND LOCALIZATIONS 191
7 FINITE RANK BUTLER GROUPS 197
7.1 PROJECTIVES, INJECTIVES, AND EXACT SEQUENCES 197
7.2 ENDOMORPHISM RINGS 202
7.3 BRACKET GROUPS 205
8 APPLICATIONS OF REPRESENTATIONS AND BUTLER GROUPS 211
8.1 TORSION-FREE MODULES OVER DISCRETE VALUATION RINGS 211
8.2
FINITE VALUATED GROUPS 218
REFERENCES 223
LIST OF SYMBOLS 235
INDEX OF TERMS 241 |
| any_adam_object | 1 |
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| bvnumber | BV013251594 |
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| discipline | Mathematik |
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| id | DE-604.BV013251594 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-11T11:47:31Z |
| institution | BVB |
| isbn | 038798982X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009031965 |
| oclc_num | 635095394 |
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| physical | XII, 244 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Canadian Mathematical Society: CMS books in mathematics |
| series2 | Canadian Mathematical Society: CMS books in mathematics |
| spelling | Arnold, David M. Verfasser aut Abelian groups and representations to finite partially ordered sets David M. Arnold Berlin [u.a.] Springer 2000 XII, 244 S. txt rdacontent n rdamedia nc rdacarrier Canadian Mathematical Society: CMS books in mathematics 2 Halbgeordnete Menge (DE-588)4128951-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Geordnete Menge (DE-588)4156748-1 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s DE-604 Geordnete Menge (DE-588)4156748-1 s Halbgeordnete Menge (DE-588)4128951-1 s Darstellungstheorie (DE-588)4148816-7 s Canadian Mathematical Society: CMS books in mathematics 2 (DE-604)BV013248581 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009031965&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arnold, David M. Abelian groups and representations to finite partially ordered sets Canadian Mathematical Society: CMS books in mathematics Halbgeordnete Menge (DE-588)4128951-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Geordnete Menge (DE-588)4156748-1 gnd Abelsche Gruppe (DE-588)4140988-7 gnd |
| subject_GND | (DE-588)4128951-1 (DE-588)4148816-7 (DE-588)4156748-1 (DE-588)4140988-7 |
| title | Abelian groups and representations to finite partially ordered sets |
| title_auth | Abelian groups and representations to finite partially ordered sets |
| title_exact_search | Abelian groups and representations to finite partially ordered sets |
| title_full | Abelian groups and representations to finite partially ordered sets David M. Arnold |
| title_fullStr | Abelian groups and representations to finite partially ordered sets David M. Arnold |
| title_full_unstemmed | Abelian groups and representations to finite partially ordered sets David M. Arnold |
| title_short | Abelian groups and representations to finite partially ordered sets |
| title_sort | abelian groups and representations to finite partially ordered sets |
| topic | Halbgeordnete Menge (DE-588)4128951-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Geordnete Menge (DE-588)4156748-1 gnd Abelsche Gruppe (DE-588)4140988-7 gnd |
| topic_facet | Halbgeordnete Menge Darstellungstheorie Geordnete Menge Abelsche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009031965&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013248581 |
| work_keys_str_mv | AT arnolddavidm abeliangroupsandrepresentationstofinitepartiallyorderedsets |