The equationally-defined commutator: a study in equational logic and algebra
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Basel]
Birkhäuser
[2015]
|
| Ausgabe: | 1st ed. 2015 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (IX, 292 Seiten, 3 illus) |
| ISBN: | 9783319212005 |
| DOI: | 10.1007/978-3-319-21200-5 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043208953 | ||
| 003 | DE-604 | ||
| 005 | 20200929 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151215s2015 |||| o||u| ||||||eng d | ||
| 020 | |a 9783319212005 |c Online |9 978-3-319-21200-5 | ||
| 024 | 7 | |a 10.1007/978-3-319-21200-5 |2 doi | |
| 035 | |a (OCoLC)944054404 | ||
| 035 | |a (DE-599)BVBBV043208953 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-19 |a DE-703 |a DE-20 |a DE-739 |a DE-634 |a DE-861 |a DE-83 | ||
| 082 | 0 | |a 512.2 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Czelakowski, Janusz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The equationally-defined commutator |b a study in equational logic and algebra |c Janusz Czelakowski |
| 250 | |a 1st ed. 2015 | ||
| 264 | 1 | |a [Basel] |b Birkhäuser |c [2015] | |
| 264 | 4 | |c © 2015 | |
| 300 | |a 1 Online Ressource (IX, 292 Seiten, 3 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Associative rings | |
| 650 | 4 | |a Rings (Algebra) | |
| 650 | 4 | |a Commutative algebra | |
| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Group Theory and Generalizations | |
| 650 | 4 | |a Commutative Rings and Algebras | |
| 650 | 4 | |a Associative Rings and Algebras | |
| 650 | 4 | |a Mathematik | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-319-21199-2 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-21200-5 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u 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 |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 940 | 1 | |q UBY_PDA_SMA | |
| 940 | 1 | |q ZDB-2-SMA_2015 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028632114 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-21200-5 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _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 |
| bvnumber | BV043208953 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)944054404 (DE-599)BVBBV043208953 |
| 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 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02794nmm a2200601zc 4500</leader><controlfield tag="001">BV043208953</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200929 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151215s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319212005</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-319-21200-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-21200-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)944054404</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043208953</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.2</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Czelakowski, Janusz</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The equationally-defined commutator</subfield><subfield code="b">a study in equational logic and algebra</subfield><subfield code="c">Janusz Czelakowski</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st ed. 2015</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">[Basel]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">[2015]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online Ressource (IX, 292 Seiten, 3 illus)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Associative rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group Theory and Generalizations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative Rings and Algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Associative Rings and Algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-21199-2</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBY_PDA_SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2015</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028632114</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-21200-5</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043208953 |
| 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 |
| oclc_num | 944054404 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| physical | 1 Online Ressource (IX, 292 Seiten, 3 illus) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Birkhäuser |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT czelakowskijanusz theequationallydefinedcommutatorastudyinequationallogicandalgebra |