Finite embedding theorems for partial designs and algebras:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Montréal
Presses de l'Université de Montréal
1977
|
| Schriftenreihe: | Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures
56 : Eté 1971 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 196 Seiten graph. Darst. |
| ISBN: | 0840503539 |
Internformat
MARC
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| 245 | 1 | 0 | |a Finite embedding theorems for partial designs and algebras |c Charles C. Lindne, Auburn University, Auburn, Alabama, and Trevor Evans, Emory University, Atlanta, Georgia |
| 264 | 1 | |a Montréal |b Presses de l'Université de Montréal |c 1977 | |
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| 650 | 4 | |a Théorèmes de plongement | |
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| 650 | 4 | |a Embedding theorems | |
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Datensatz im Suchindex
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| adam_text |
TABLE OF CONTENTS
Preface 9
PART I FINITE EMBEDDING THEOREMS FOR LATIN SQUARES AND QUASIGROUPS
§1. Introduction 15
§2. Systems of distinct representatives 20
§3. The Theorems of Ryser and Evans (latin rectangles and
squares) 27
§4. Cruse's Theorems (commutative latin rectangles and
squares) 33
§5. Hilton's Method (idempotent latin squares) 42
§6. Conjugate quasigroups and identities 47
§7. Embedding Steiner quasigroups 51
§8. Embedding totally symmetric and semisymmetric quasigroups . 60
§9. Summary of embedding theorems 68
§10. The intersection preserving finite embeddability
property (IPFEP) 69
§11. Separating sets of totally symmetric quasigroups 74
§12. The IPFEP for the variety of all quasigroups 79
§13. The IPFEP for varieties V(I) , where x =x | 1 85
§14. The singular direct product 89
§15. The IPFEP for varieties V(I), where x = x £ 1 93
§16. Summary of IPFEP embedding theorems 98
§17. Orthogonal latin squares and block designs 99
§18. Embedding orthogonal partial latin squares 108
§19. Room squares 113
§20. Embedding partial Room squares 117
§21. Problems 120
References 124
PART II APPROXIMATING ALGEBRAS BY FINITE ALGEBRAS
§1. Introduction 131
§2. Algebras and varieties 134
§3. Residual finiteness 137
§4. Finite embeddability of partial algebras 145
§5. Partial V algebras 156
§6. Congruences and semi congruences of finite index 159
§7. Finite separability properties 167
§8. Endomorphisms of algebras 174
§9. The hopfian property 179
§10. Decision problems 183
References 193 |
| any_adam_object | 1 |
| author | Lindner, Charles C. Evans, Trevor 1925 ?-1991 |
| author_GND | (DE-588)141046961 (DE-588)1051834902 |
| author_facet | Lindner, Charles C. Evans, Trevor 1925 ?-1991 |
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| building | Verbundindex |
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| dewey-full | 511/.64 |
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| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.64 |
| dewey-search | 511/.64 |
| dewey-sort | 3511 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV009046580 |
| illustrated | Illustrated |
| indexdate | 2024-09-24T00:15:53Z |
| institution | BVB |
| isbn | 0840503539 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005987042 |
| oclc_num | 3494678 |
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| physical | 196 Seiten graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Presses de l'Université de Montréal |
| record_format | marc |
| series2 | Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures |
| spelling | Lindner, Charles C. Verfasser (DE-588)141046961 aut Finite embedding theorems for partial designs and algebras Charles C. Lindne, Auburn University, Auburn, Alabama, and Trevor Evans, Emory University, Atlanta, Georgia Montréal Presses de l'Université de Montréal 1977 196 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures 56 : Eté 1971 Groupes finis Théorèmes de plongement Algebra, Universal Embedding theorems Magic squares Quasigroups Kombinatorik (DE-588)4031824-2 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Lateinisches Quadrat (DE-588)4166852-2 gnd rswk-swf Einbettungssatz Mathematik (DE-588)4543778-6 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 s DE-604 Kombinatorik (DE-588)4031824-2 s Einbettungssatz Mathematik (DE-588)4543778-6 s Lateinisches Quadrat (DE-588)4166852-2 s Algebra (DE-588)4001156-2 s Evans, Trevor 1925 ?-1991 Verfasser (DE-588)1051834902 aut Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures Université <Montréal> 56 : Eté 1971 (DE-604)BV004025294 56 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987042&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lindner, Charles C. Evans, Trevor 1925 ?-1991 Finite embedding theorems for partial designs and algebras Groupes finis Théorèmes de plongement Algebra, Universal Embedding theorems Magic squares Quasigroups Kombinatorik (DE-588)4031824-2 gnd Algebra (DE-588)4001156-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Lateinisches Quadrat (DE-588)4166852-2 gnd Einbettungssatz Mathematik (DE-588)4543778-6 gnd |
| subject_GND | (DE-588)4031824-2 (DE-588)4001156-2 (DE-588)4001166-5 (DE-588)4166852-2 (DE-588)4543778-6 |
| title | Finite embedding theorems for partial designs and algebras |
| title_auth | Finite embedding theorems for partial designs and algebras |
| title_exact_search | Finite embedding theorems for partial designs and algebras |
| title_full | Finite embedding theorems for partial designs and algebras Charles C. Lindne, Auburn University, Auburn, Alabama, and Trevor Evans, Emory University, Atlanta, Georgia |
| title_fullStr | Finite embedding theorems for partial designs and algebras Charles C. Lindne, Auburn University, Auburn, Alabama, and Trevor Evans, Emory University, Atlanta, Georgia |
| title_full_unstemmed | Finite embedding theorems for partial designs and algebras Charles C. Lindne, Auburn University, Auburn, Alabama, and Trevor Evans, Emory University, Atlanta, Georgia |
| title_short | Finite embedding theorems for partial designs and algebras |
| title_sort | finite embedding theorems for partial designs and algebras |
| topic | Groupes finis Théorèmes de plongement Algebra, Universal Embedding theorems Magic squares Quasigroups Kombinatorik (DE-588)4031824-2 gnd Algebra (DE-588)4001156-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Lateinisches Quadrat (DE-588)4166852-2 gnd Einbettungssatz Mathematik (DE-588)4543778-6 gnd |
| topic_facet | Groupes finis Théorèmes de plongement Algebra, Universal Embedding theorems Magic squares Quasigroups Kombinatorik Algebra Algebraische Struktur Lateinisches Quadrat Einbettungssatz Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987042&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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