A survey on congruence lattice representations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Leipzig
Teubner
1982
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Teubner-Texte zur Mathematik
42 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 115 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a A survey on congruence lattice representations |c E. Tamas Schmidt |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Leipzig |b Teubner |c 1982 | |
| 300 | |a 115 S. | ||
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| 490 | 1 | |a Teubner-Texte zur Mathematik |v 42 | |
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Datensatz im Suchindex
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| adam_text | INTRODUCTION 3
CONTENTS 6
CHAPTER 1. First concepts 8
1.1. Algebraic lattices 8
1.2. Idealf of semilattices 9
1.3. Closure operators 12
1.4. Equivalence relations 13
1.5. Algebraic lattices and join homomorphism 15
1.6. Free Boolean algebra 17
CHAPTER 2. Congruence relations of algebras 20
2.1. Basic properties of congruences 20
2.2. Extension of congruences 24
2.3. Congruence lattices 26
2.4. Algebras of fixed similarity type 34
2.5. Congruence lattices of semigroups 39
2.6. Congruences of finite algebras 43
2.7. Modular congruence lattices and n permutability 49
2.8. Further topics 51
2.9. Problems 53
CHAPTER 3. Congruences of lattices 54
3.1. Congruence relations and weak projectivity 54
3.2. Congruences and ideals 62
3.3. Finite distributive lattices are congruence lattices ..64
3.4. Weak projectivities in modular lattices 69
3.5. Congruence lattices of modular lattices 75
3.6. Distributive congruences of semilattices 82
3.7. Pre ikeltton 90
3.8. The proof of the main theorem 95
3.9. further topics . 102
3.10. Problems 105
APPENDIX. Congruence lattices of other algebras 107
BIBLIOGRAPHY 109
IABLE OF NOTATIONS 114
INDEX 11s
|
| adam_txt |
INTRODUCTION 3
CONTENTS 6
CHAPTER 1. First concepts 8
1.1. Algebraic lattices 8
1.2. Idealf of semilattices 9
1.3. Closure operators 12
1.4. Equivalence relations 13
1.5. Algebraic lattices and join homomorphism 15
1.6. Free Boolean algebra 17
CHAPTER 2. Congruence relations of algebras 20
2.1. Basic properties of congruences 20
2.2. Extension of congruences 24
2.3. Congruence lattices 26
2.4. Algebras of fixed similarity type 34
2.5. Congruence lattices of semigroups 39
2.6. Congruences of finite algebras 43
2.7. Modular congruence lattices and n permutability 49
2.8. Further topics 51
2.9. Problems 53
CHAPTER 3. Congruences of lattices 54
3.1. Congruence relations and weak projectivity 54
3.2. Congruences and ideals 62
3.3. Finite distributive lattices are congruence lattices .64
3.4. Weak projectivities in modular lattices 69
3.5. Congruence lattices of modular lattices 75
3.6. Distributive congruences of semilattices 82
3.7. Pre ikeltton 90
3.8. The proof of the main theorem 95
3.9. further topics . 102
3.10. Problems 105
APPENDIX. Congruence lattices of other algebras 107
BIBLIOGRAPHY 109
IABLE OF NOTATIONS 114
INDEX 11s |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Schmidt, E. Tamás 1936- |
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| author_facet | Schmidt, E. Tamás 1936- |
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| callnumber-first | Q - Science |
| callnumber-label | QA171 |
| callnumber-raw | QA171.5 |
| callnumber-search | QA171.5 |
| callnumber-sort | QA 3171.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 160 SK 230 |
| ctrlnum | (OCoLC)9209282 (DE-599)BVBBV022174848 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV022174848 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:20:07Z |
| indexdate | 2024-07-09T20:51:49Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015389570 |
| oclc_num | 9209282 |
| open_access_boolean | |
| owner | DE-706 DE-188 |
| owner_facet | DE-706 DE-188 |
| physical | 115 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Teubner |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Schmidt, E. Tamás 1936- Verfasser (DE-588)172397804 aut A survey on congruence lattice representations E. Tamas Schmidt 1. Aufl. Leipzig Teubner 1982 115 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 42 Representations of congruence lattices Kongruenz (DE-588)4164978-3 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 s DE-604 Verbandstheorie (DE-588)4127072-1 s Kongruenz (DE-588)4164978-3 s Teubner-Texte zur Mathematik 42 (DE-604)BV000012607 42 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015389570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, E. Tamás 1936- A survey on congruence lattice representations Teubner-Texte zur Mathematik Representations of congruence lattices Kongruenz (DE-588)4164978-3 gnd Universelle Algebra (DE-588)4061777-4 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| subject_GND | (DE-588)4164978-3 (DE-588)4061777-4 (DE-588)4127072-1 |
| title | A survey on congruence lattice representations |
| title_auth | A survey on congruence lattice representations |
| title_exact_search | A survey on congruence lattice representations |
| title_exact_search_txtP | A survey on congruence lattice representations |
| title_full | A survey on congruence lattice representations E. Tamas Schmidt |
| title_fullStr | A survey on congruence lattice representations E. Tamas Schmidt |
| title_full_unstemmed | A survey on congruence lattice representations E. Tamas Schmidt |
| title_short | A survey on congruence lattice representations |
| title_sort | a survey on congruence lattice representations |
| topic | Representations of congruence lattices Kongruenz (DE-588)4164978-3 gnd Universelle Algebra (DE-588)4061777-4 gnd Verbandstheorie (DE-588)4127072-1 gnd |
| topic_facet | Representations of congruence lattices Kongruenz Universelle Algebra Verbandstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015389570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT schmidtetamas asurveyoncongruencelatticerepresentations |