Varieties of lattices:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1992
|
| Series: | Lecture notes in mathematics
1533 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 162 S. |
| ISBN: | 3540563148 0387563148 |
Staff View
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| 100 | 1 | |a Jipsen, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Varieties of lattices |c Peter Jipsen ; Henry Rose |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a X, 162 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1533 | |
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| 650 | 4 | |a Lattice theory | |
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Record in the Search Index
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| adam_text |
Contents
Introduction ix
1 Preliminaries 1
1.1 The Concept of a Variety 1
1.2 Congruences and Free Algebras 2
1.3 Congruence Distributivity 5
1.4 Congruences on Lattices 10
2 General Results 13
2.1 The Lattice A 13
2.2 The Structure of the Bottom of A 17
2.3 Splitting Lattices and Bounded Homomorphisms 20
2.4 Splitting lattices generate ail lattices 41
2.5 Finite lattices that satisfy (W) 44
3 Modular Varieties 46
3.1 Introduction 46
3.2 Projective Spaces and Arguesian Lattices 47
3.3 n Frames and Freese's Theorem 57
3.4 Covering Relations between Modular Varieties 69
4 Nonmodular Varieties 77
4.1 Introduction 77
4.2 Semidistributivity 78
4.3 Almost Distributive Varieties 86
4.4 Further Séquences of Varieties 104
5 Equational Bases 115
5.1 Introduction 115
5.2 Baker's Finite Basis Theorem 116
5.3 Joins of finitely based varieties 120
5.4 Equational Bases for some Varieties 126
6 Amalgamation in Lattice Varieties 128
6.1 Introduction 128
6.2 Preliminaries 129
viii CONTENTS
6.3 Amal(V) for Residually Small Varieties 132
6.4 Products of absolute retracts 134
6.5 Lattices and the Amalgamation Property 135
6.6 Amalgamation in modular varieties 137
6.7 The Day Jezek Theorem 141
6.8 Amal(V) for some lattice varieties 145
Bibliography 149
Index 157 |
| any_adam_object | 1 |
| author | Jipsen, Peter Rose, Henry |
| author_facet | Jipsen, Peter Rose, Henry |
| author_role | aut aut |
| author_sort | Jipsen, Peter |
| author_variant | p j pj h r hr |
| building | Verbundindex |
| bvnumber | BV005890307 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 060f MAT 085f |
| ctrlnum | (OCoLC)246276534 (DE-599)BVBBV005890307 |
| dewey-full | 510 511.3/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 511 - General principles of mathematics |
| dewey-raw | 510 511.3/3 |
| dewey-search | 510 511.3/3 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:37:29Z |
| institution | BVB |
| isbn | 3540563148 0387563148 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003687599 |
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| physical | X, 162 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Jipsen, Peter Verfasser aut Varieties of lattices Peter Jipsen ; Henry Rose Berlin u.a. Springer 1992 X, 162 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1533 Algèbre universelle Treillis, Théorie des Algebraic varieties Lattice theory Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Verband Mathematik (DE-588)4062565-5 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 gnd rswk-swf Verband Mathematik (DE-588)4062565-5 s Mannigfaltigkeit (DE-588)4037379-4 s DE-604 Algebraische Mannigfaltigkeit (DE-588)4128509-8 s Universelle Algebra (DE-588)4061777-4 s Verbandstheorie (DE-588)4127072-1 s Rose, Henry Verfasser aut Lecture notes in mathematics 1533 (DE-604)BV000676446 1533 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687599&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jipsen, Peter Rose, Henry Varieties of lattices Lecture notes in mathematics Algèbre universelle Treillis, Théorie des Algebraic varieties Lattice theory Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Verband Mathematik (DE-588)4062565-5 gnd Universelle Algebra (DE-588)4061777-4 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4128509-8 (DE-588)4062565-5 (DE-588)4061777-4 (DE-588)4127072-1 |
| title | Varieties of lattices |
| title_auth | Varieties of lattices |
| title_exact_search | Varieties of lattices |
| title_full | Varieties of lattices Peter Jipsen ; Henry Rose |
| title_fullStr | Varieties of lattices Peter Jipsen ; Henry Rose |
| title_full_unstemmed | Varieties of lattices Peter Jipsen ; Henry Rose |
| title_short | Varieties of lattices |
| title_sort | varieties of lattices |
| topic | Algèbre universelle Treillis, Théorie des Algebraic varieties Lattice theory Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Verband Mathematik (DE-588)4062565-5 gnd Universelle Algebra (DE-588)4061777-4 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| topic_facet | Algèbre universelle Treillis, Théorie des Algebraic varieties Lattice theory Mannigfaltigkeit Algebraische Mannigfaltigkeit Verband Mathematik Universelle Algebra Verbandstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003687599&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT jipsenpeter varietiesoflattices AT rosehenry varietiesoflattices |