Trends in lattice theory:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Van Nostrand Reinhold
1970
|
| Schriftenreihe: | Van Nostrand Reinhold mathematical studies.
31 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 215 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Trends in lattice theory |c J. C. Abbott, general ed. Contributors: Garrett Birkhoff ... |
| 264 | 1 | |a New York [u.a.] |b Van Nostrand Reinhold |c 1970 | |
| 300 | |a IX, 215 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Van Nostrand Reinhold mathematical studies. |v 31 | |
| 650 | 4 | |a Treillis, Théorie des | |
| 650 | 4 | |a Lattice theory | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface iii
Part I: WHAT CAN LATTICES DO FOR YOU?
by Garrett Birkhoff
Introduction 1
Boolean logic 2
Dedekind s work 4
Lattice theory begins 6
Lattices and groups 7
Universal algebra 9
Geometric lattices 12
Continuous geometries 14
Lattices and set theory 19
Current trends in set theory 21
Convergence in lattices 24
Lattice ordered monoids 27
Lattice ordered groups 29
Vector lattices 31
Directed vector spaces 34
Positive linear operators 36
Time dependent case 37
Bibliography 39
vii
viii TRENDS IN LATTICE THEORY
Part II: THE CURRENT INTEREST IN ORTHOMODULAR
LATTICES
by Samuel S. Holland, Jr.
Introduction 41
The origin of orthomodular lattice theory 46
Some basic orthomodular lattice theory 79
The principal results 95
Some brief remarks on quantum mechanics 114
Bibliography 117
Part III: GEOMETRIC LATTICES
by Henry Crapo and Gian Carlo Rota
Introduction 127
Geometries and Geometric Lattices 132
Classical Examples 141
Span, bases, minors, and dependence 150
The extension theorem 153
The critical problem 161
Bibliography 167
Part IV: UNIVERSAL ALGEBRA
by George Gratzer
Introduction 173
Basic concepts 175
From the Homomorphism theorem to the
Jordan Holder theorem 176
Algebraic constructions 178
Related structures 181
Free algebras and identities 185
Bases of free algebras 188
CONTENTS ix
The first order language of algebras 193
Free I algebras 199
Some general comments and lattice theoretic
particulars 202
Appendix 211
|
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| language | English |
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| physical | IX, 215 S. |
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| spelling | Trends in lattice theory J. C. Abbott, general ed. Contributors: Garrett Birkhoff ... New York [u.a.] Van Nostrand Reinhold 1970 IX, 215 S. txt rdacontent n rdamedia nc rdacarrier Van Nostrand Reinhold mathematical studies. 31 Treillis, Théorie des Lattice theory Verbandstheorie (DE-588)4127072-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Verbandstheorie (DE-588)4127072-1 s DE-604 Abbott, James Crawford (DE-588)13032518X edt Birkhoff, Garrett 1911-1996 Sonstige (DE-588)11882564X oth Van Nostrand Reinhold mathematical studies. 31 (DE-604)BV002492122 31 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001847817&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Trends in lattice theory Van Nostrand Reinhold mathematical studies. Treillis, Théorie des Lattice theory Verbandstheorie (DE-588)4127072-1 gnd |
| subject_GND | (DE-588)4127072-1 (DE-588)1071861417 |
| title | Trends in lattice theory |
| title_auth | Trends in lattice theory |
| title_exact_search | Trends in lattice theory |
| title_full | Trends in lattice theory J. C. Abbott, general ed. Contributors: Garrett Birkhoff ... |
| title_fullStr | Trends in lattice theory J. C. Abbott, general ed. Contributors: Garrett Birkhoff ... |
| title_full_unstemmed | Trends in lattice theory J. C. Abbott, general ed. Contributors: Garrett Birkhoff ... |
| title_short | Trends in lattice theory |
| title_sort | trends in lattice theory |
| topic | Treillis, Théorie des Lattice theory Verbandstheorie (DE-588)4127072-1 gnd |
| topic_facet | Treillis, Théorie des Lattice theory Verbandstheorie Konferenzschrift |
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