The equationally-defined commutator: a study in equational logic and algebra
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Basel]
Birkhäuser
[2015]
|
| Edition: | 1st ed. 2015 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (IX, 292 Seiten, 3 illus) |
| ISBN: | 9783319212005 |
| DOI: | 10.1007/978-3-319-21200-5 |
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Record in the Search Index
| _version_ | 1804175707140521984 |
|---|---|
| adam_text | THE EQUATIONALLY-DEFINED COMMUTATOR
/ CZELAKOWSKI, JANUSZ
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
BASIC PROPERTIES OF QUASIVARIETIES
COMMUTATOR EQUATIONS AND THE EQUATIONALLY DEFINED COMMUTATOR
CENTRALIZATION RELATIONS
ADDITIVITY OF THE EQUATIONALLY DEFINED COMMUTATOR
MODULARITY AND RELATED TOPICS
ADDITIVITY OF THE EQUATIONALLY DEFINED COMMUTATOR AND RELATIVELY
CONGRUENCE-DISTRIBUTIVE DUB QUASIVARIETIES
MORE ON FINITELY GENERATED QUASIVARIETIES
COMMUTATOR LAWS IN FINITELY GENERATED QUASIVARIETIES
APPENDIX 1: ALGEBRAIC LATTICES.-APPENDIX 2: A PROOF OF THEOREM 3.3.4
FOR RELATIVELY CONGRUENCE-MODULAR QUASIVARIETIES
APPENDIX 3: INFERENTIAL BASESFOR RELATIVELY CONGRUENCE-MODULAR
QUASIVARIETIES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE EQUATIONALLY-DEFINED COMMUTATOR
/ CZELAKOWSKI, JANUSZ
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH INTRODUCES AND EXPLORES THE NOTIONS OF A COMMUTATOR
EQUATION AND THE EQUATIONALLY-DEFINED COMMUTATOR FROM THE PERSPECTIVE OF
ABSTRACT ALGEBRAIC LOGIC. AN ACCOUNT OF THE COMMUTATOR OPERATION
ASSOCIATED WITH EQUATIONAL DEDUCTIVE SYSTEMS IS PRESENTED, WITH AN
EMPHASIS PLACED ON LOGICAL ASPECTS OF THE COMMUTATOR FOR EQUATIONAL
SYSTEMS DETERMINED BY QUASIVARIETIES OF ALGEBRAS. THE AUTHOR DISCUSSES
THE GENERAL PROPERTIES OF THE EQUATIONALLY-DEFINED COMMUTATOR, VARIOUS
CENTRALIZATION RELATIONS FOR RELATIVE CONGRUENCES, THE ADDITIVITY AND
CORRESPONDENCE PROPERTIES OF THE EQUATIONALLY-DEFINED COMMUTATOR, AND
ITS BEHAVIOR IN FINITELY GENERATED QUASIVARIETIES. PRESENTING NEW AND
ORIGINAL RESEARCH NOT YET CONSIDERED IN THE MATHEMATICAL LITERATURE, THE
EQUATIONALLY-DEFINED COMMUTATOR WILL BE OF INTEREST TO PROFESSIONAL
ALGEBRAISTS AND LOGICIANS, AS WELL AS GRADUATE STUDENTS AND OTHER
RESEARCHERS INTERESTED IN PROBLEMS OF MODERN ALGEBRAIC LOGIC
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Czelakowski, Janusz |
| author_facet | Czelakowski, Janusz |
| author_role | aut |
| author_sort | Czelakowski, Janusz |
| author_variant | j c jc |
| building | Verbundindex |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-21200-5 |
| edition | 1st ed. 2015 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:34Z |
| institution | BVB |
| isbn | 9783319212005 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632114 |
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| spelling | Czelakowski, Janusz Verfasser aut The equationally-defined commutator a study in equational logic and algebra Janusz Czelakowski 1st ed. 2015 [Basel] Birkhäuser [2015] © 2015 1 Online Ressource (IX, 292 Seiten, 3 illus) txt rdacontent c rdamedia cr rdacarrier Mathematics Associative rings Rings (Algebra) Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Associative Rings and Algebras Mathematik Erscheint auch als Druckausgabe 978-3-319-21199-2 https://doi.org/10.1007/978-3-319-21200-5 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632114&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632114&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Czelakowski, Janusz The equationally-defined commutator a study in equational logic and algebra Mathematics Associative rings Rings (Algebra) Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Associative Rings and Algebras Mathematik |
| title | The equationally-defined commutator a study in equational logic and algebra |
| title_auth | The equationally-defined commutator a study in equational logic and algebra |
| title_exact_search | The equationally-defined commutator a study in equational logic and algebra |
| title_full | The equationally-defined commutator a study in equational logic and algebra Janusz Czelakowski |
| title_fullStr | The equationally-defined commutator a study in equational logic and algebra Janusz Czelakowski |
| title_full_unstemmed | The equationally-defined commutator a study in equational logic and algebra Janusz Czelakowski |
| title_short | The equationally-defined commutator |
| title_sort | the equationally defined commutator a study in equational logic and algebra |
| title_sub | a study in equational logic and algebra |
| topic | Mathematics Associative rings Rings (Algebra) Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Associative Rings and Algebras Mathematik |
| topic_facet | Mathematics Associative rings Rings (Algebra) Commutative algebra Commutative rings Group theory Group Theory and Generalizations Commutative Rings and Algebras Associative Rings and Algebras Mathematik |
| url | https://doi.org/10.1007/978-3-319-21200-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632114&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632114&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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