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Incidence algebras:

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Bibliographic Details
Main Authors:	Spiegel, Eugene (Author), O'Donnell, Christopher J. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Dekker 1997
Series:	Pure and applied mathematics 206
Subjects:	Anéis e álgebras associativos Álgebra Incidence algebras Inzidenzalgebra
Online Access:	Inhaltsverzeichnis
Physical Description:	IX, 335 S. graph. Darst.
ISBN:	0824700368

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MARC


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adam_text	Contents Preface iii List of Figures ix 1 Incidence Algebras 1 1.1 Partially Ordered Sets 1 1.2 The Incidence Algebra 9 1.3 Subalgebras 18 2 The Mobius Function 33 2.1 The Mobius Function 33 2.2 The Mobius Algebra 52 2.3 Some Applications of Mobius Inversion 87 2.4 The Polya de Bruijn Theorem 101 3 Reduced Incidence Algebras 107 3.1 Generating Functions 107 3.2 The Reduced Incidence Coalgebra 121 3.3 Incidence Hopf Algebras 141 4 Radicals 163 4.1 Some Lattice Theory 163 4.2 The Jacobson Radical 168 4.3 Nil Radicals 173 vii 5 Maximal Ideals 189 5.1 Maximal Ideals of I(X, F) 189 5.2 Maximal Ideals of I(X, R) 203 5.3 Omega Maximal Ideals 209 6 Minimal Prime Ideals 217 6.1 Minimal Prime Ideals of I(X, F) 217 6.2 Some Prime Ideals in I(X, R) 231 6.3 Krull Dimension 240 7 Derivations and Isomorphisms 251 7.1 Derivations 251 7.2 The Isomorphism Problem 259 7.3 Automorphisms 273 8 Ring Theoretic Properties 283 8.1 Rings of Quotients 283 8.2 Polynomial Identities 296 8.3 Additional Remarks 305 List of Symbols 307 Bibliography 317 Index 327
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author	Spiegel, Eugene O'Donnell, Christopher J.
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illustrated	Illustrated
indexdate	2024-07-09T18:13:35Z
institution	BVB
isbn	0824700368
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007860142
oclc_num	36001414
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owner	DE-703 DE-29T
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physical	IX, 335 S. graph. Darst.
publishDate	1997
publishDateSearch	1997
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publisher	Dekker
record_format	marc
series	Pure and applied mathematics
series2	Pure and applied mathematics
spelling	Spiegel, Eugene Verfasser aut Incidence algebras Eugene Spiegel ; Christopher J. O'Donnell New York [u.a.] Dekker 1997 IX, 335 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 206 Anéis e álgebras associativos larpcal Álgebra larpcal Incidence algebras Inzidenzalgebra (DE-588)4128094-5 gnd rswk-swf Inzidenzalgebra (DE-588)4128094-5 s DE-604 O'Donnell, Christopher J. Verfasser aut Pure and applied mathematics 206 (DE-604)BV000001885 206 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007860142&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Spiegel, Eugene O'Donnell, Christopher J. Incidence algebras Pure and applied mathematics Anéis e álgebras associativos larpcal Álgebra larpcal Incidence algebras Inzidenzalgebra (DE-588)4128094-5 gnd
subject_GND	(DE-588)4128094-5
title	Incidence algebras
title_auth	Incidence algebras
title_exact_search	Incidence algebras
title_full	Incidence algebras Eugene Spiegel ; Christopher J. O'Donnell
title_fullStr	Incidence algebras Eugene Spiegel ; Christopher J. O'Donnell
title_full_unstemmed	Incidence algebras Eugene Spiegel ; Christopher J. O'Donnell
title_short	Incidence algebras
title_sort	incidence algebras
topic	Anéis e álgebras associativos larpcal Álgebra larpcal Incidence algebras Inzidenzalgebra (DE-588)4128094-5 gnd
topic_facet	Anéis e álgebras associativos Álgebra Incidence algebras Inzidenzalgebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007860142&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000001885
work_keys_str_mv	AT spiegeleugene incidencealgebras AT odonnellchristopherj incidencealgebras

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