Holdings: Abelian groups and representations of finite partially ordered sets

Abelian groups and representations of finite partially ordered sets:

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Bibliographic Details
Main Author:	Arnold, David M. (Author)
Format:	Book
Language:	English
Published:	New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 2000
Series:	CMS books in mathematics 2
Subjects:	Darstellung > Mathematik Abelsche Gruppe Endliche halbgeordnete Menge
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 223 - 234
Physical Description:	XII, 244 S. graph. Darst. : 25 cm
ISBN:	038798982X

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MARC


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Record in the Search Index

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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
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indexdate	2024-11-22T17:13:56Z
institution	BVB
isbn	038798982X
language	English
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owner	DE-634 DE-11 DE-188
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physical	XII, 244 S. graph. Darst. : 25 cm
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	Springer
record_format	marc
series	CMS books in mathematics
series2	CMS books in mathematics
spelling	Arnold, David M. Verfasser aut Abelian groups and representations of finite partially ordered sets David M. Arnold. [Canadian Mathematical Society] New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 2000 XII, 244 S. graph. Darst. : 25 cm txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 2 Literaturverz. S. 223 - 234 Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Endliche halbgeordnete Menge (DE-588)4207450-2 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s DE-604 Endliche halbgeordnete Menge (DE-588)4207450-2 s Darstellung Mathematik (DE-588)4128289-9 s 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=009088369&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Arnold, David M. Abelian groups and representations of finite partially ordered sets CMS books in mathematics Darstellung Mathematik (DE-588)4128289-9 gnd Abelsche Gruppe (DE-588)4140988-7 gnd Endliche halbgeordnete Menge (DE-588)4207450-2 gnd
subject_GND	(DE-588)4128289-9 (DE-588)4140988-7 (DE-588)4207450-2
title	Abelian groups and representations of finite partially ordered sets
title_auth	Abelian groups and representations of finite partially ordered sets
title_exact_search	Abelian groups and representations of finite partially ordered sets
title_full	Abelian groups and representations of finite partially ordered sets David M. Arnold. [Canadian Mathematical Society]
title_fullStr	Abelian groups and representations of finite partially ordered sets David M. Arnold. [Canadian Mathematical Society]
title_full_unstemmed	Abelian groups and representations of finite partially ordered sets David M. Arnold. [Canadian Mathematical Society]
title_short	Abelian groups and representations of finite partially ordered sets
title_sort	abelian groups and representations of finite partially ordered sets
topic	Darstellung Mathematik (DE-588)4128289-9 gnd Abelsche Gruppe (DE-588)4140988-7 gnd Endliche halbgeordnete Menge (DE-588)4207450-2 gnd
topic_facet	Darstellung Mathematik Abelsche Gruppe Endliche halbgeordnete Menge
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009088369&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV013248581
work_keys_str_mv	AT arnolddavidm abeliangroupsandrepresentationsoffinitepartiallyorderedsets

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