A survey on congruence lattice representations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1982
|
| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik
42. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 115 S. |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116612414963712 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Schmidt, Eligius Tamás |
| author_facet | Schmidt, Eligius Tamás |
| author_role | aut |
| author_sort | Schmidt, Eligius Tamás |
| author_variant | e t s et ets |
| building | Verbundindex |
| bvnumber | BV002156738 |
| 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 230 |
| classification_tum | MAT 060f |
| ctrlnum | (OCoLC)9209282 (DE-599)BVBBV002156738 |
| 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 |
| edition | 1. Aufl. |
| format | Book |
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| id | DE-604.BV002156738 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:41:17Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001415666 |
| oclc_num | 9209282 |
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| owner | DE-91G DE-BY-TUM DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-11 |
| 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, Eligius Tamás Verfasser aut A survey on congruence lattice representations 1. Aufl. Leipzig Teubner 1982 115 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik. 42. Representations of congruence lattices Verbandstheorie (DE-588)4127072-1 gnd rswk-swf Universelle Algebra (DE-588)4061777-4 gnd rswk-swf Kongruenz (DE-588)4164978-3 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 s 1\p DE-604 Universelle Algebra (DE-588)4061777-4 s 2\p DE-604 Kongruenz (DE-588)4164978-3 s 3\p DE-604 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=001415666&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schmidt, Eligius Tamás A survey on congruence lattice representations Teubner-Texte zur Mathematik Representations of congruence lattices Verbandstheorie (DE-588)4127072-1 gnd Universelle Algebra (DE-588)4061777-4 gnd Kongruenz (DE-588)4164978-3 gnd |
| subject_GND | (DE-588)4127072-1 (DE-588)4061777-4 (DE-588)4164978-3 |
| 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_full | A survey on congruence lattice representations |
| title_fullStr | A survey on congruence lattice representations |
| title_full_unstemmed | A survey on congruence lattice representations |
| title_short | A survey on congruence lattice representations |
| title_sort | a survey on congruence lattice representations |
| topic | Representations of congruence lattices Verbandstheorie (DE-588)4127072-1 gnd Universelle Algebra (DE-588)4061777-4 gnd Kongruenz (DE-588)4164978-3 gnd |
| topic_facet | Representations of congruence lattices Verbandstheorie Universelle Algebra Kongruenz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001415666&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT schmidteligiustamas asurveyoncongruencelatticerepresentations |