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Preprimal algebras:

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Bibliographic Details
Main Author:	Denecke, Klaus 1944- (Author)
Format:	Book
Language:	English
Published:	Berlin Akademie-Verlag 1982
Series:	Mathematical research Band 11
Subjects:	Algebra, Universal Many-valued logic Mehrwertige Logik Algebraische Struktur
Online Access:	Inhaltsverzeichnis
Physical Description:	162 Seiten

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MARC


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adam_text	Contents Introduction H 1. Basic concepts 26 1.1 Functions on a finite set 26 1.2 Finite algebras 30 1.3 Varieties 34 1.4 Categorical algebras 37 1.5 Paraprinal and cryptoprimal algebras 39 1.6 On finite axiomatizability of finite algebras 41 2. Arithmetical varieties 42 2.1 Characterization of quasiprimal and functionally complete algebras 42 2.2 A characterization of semiprimal, demiprimal, and primal algebras 45 2.3 Hemiprimal algebras 49 2.4 Representation theorem ¦ 51 Problems and comments 52 3. Two element preprimal algebras 53 3.2 Two element algebras and varieties generated by two element algebras 56 3.3 Completeness properties of two element algebras 63 Problems and comments 64 4. Preprimal algebras 65 4.1 Classification of all maximal classes of functions in F_(A) 65 4.2 Elementary properties of preprimal algebras 69 4.3 Independent sets and free preprimal algebras 72 4.4 Weak automorphisms of preprimal algebras 75 Problems and comments 79 5. Varieties generated by preprimal algebras 80 5.1 An algebraic characterization of preprimal algebras generating arithmetical varieties 80 5.2 Preprimal algebras generating either congruence distributive or congruence permutable varieties 83 5.3 Preprimal algebras generating neither congruence distributive nor congruence permutable varieties 89 5.4 Algebraic characterization of preprimal algebras generating 2 distributive varieties 91 5.5 Subdirectly irreducible elements, representation theorems 97 9 5.6 Equationally maximal preprimal algebras 108 5.7 Semidegenerate varieties generated by preprimal algebras 111 5.8 The lattice of subvarieties of a variety generated by a preprimal algebra 114 5.9 On finite axiomatizability of preprimal algebras 117 Problems and comments 118 6. Completeness in universal algebras 119 6.1 Primality 119 6.2 Primality and preprimality of finite algebras with a single fundamental operation 121 6.3 Functionally complete algebras 125 6.4 A new proof of Rosenberg's primal algebra characterization theorem by R.W.Quackenbush 130 Problems and comments 131 7. Examples for preprimal algebras 132 Appendix: Quackenbush's new proof of Rosenberg's theorem 137 Bibliography 153 Subject Index 161 10
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genre	Präprimale Algebra gnd
genre_facet	Präprimale Algebra
id	DE-604.BV000249718
illustrated	Not Illustrated
indexdate	2024-09-20T04:27:05Z
institution	BVB
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000150512
oclc_num	10282844
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physical	162 Seiten
psigel	TUB-nvmb
publishDate	1982
publishDateSearch	1982
publishDateSort	1982
publisher	Akademie-Verlag
record_format	marc
series	Mathematical research
series2	Mathematical research
spelling	Denecke, Klaus 1944- (DE-588)136447929 aut Preprimal algebras by Klaus Denecke Berlin Akademie-Verlag 1982 162 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical research Band 11 Algebra, Universal Many-valued logic Mehrwertige Logik (DE-588)4169335-8 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s DE-604 Mehrwertige Logik (DE-588)4169335-8 s Mathematical research Band 11 (DE-604)BV000008585 11 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Denecke, Klaus 1944- Preprimal algebras Mathematical research Algebra, Universal Many-valued logic Mehrwertige Logik (DE-588)4169335-8 gnd Algebraische Struktur (DE-588)4001166-5 gnd
subject_GND	(DE-588)4169335-8 (DE-588)4001166-5
title	Preprimal algebras
title_auth	Preprimal algebras
title_exact_search	Preprimal algebras
title_full	Preprimal algebras by Klaus Denecke
title_fullStr	Preprimal algebras by Klaus Denecke
title_full_unstemmed	Preprimal algebras by Klaus Denecke
title_short	Preprimal algebras
title_sort	preprimal algebras
topic	Algebra, Universal Many-valued logic Mehrwertige Logik (DE-588)4169335-8 gnd Algebraische Struktur (DE-588)4001166-5 gnd
topic_facet	Algebra, Universal Many-valued logic Mehrwertige Logik Algebraische Struktur
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000008585
work_keys_str_mv	AT deneckeklaus preprimalalgebras

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