國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The equationally-defined commutatora...

Czelakowski, Janusz.

The equationally-defined commutatora study in equational logic and algebra /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The equationally-defined commutatorby Janusz Czelakowski.
其他題名:	a study in equational logic and algebra /
作者:	Czelakowski, Janusz.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	ix, 292 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Algebraic logic.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21200-5
ISBN:	9783319212005$q(electronic bk.)

The equationally-defined commutatora study in equational logic and algebra /
Czelakowski, Janusz.

The equationally-defined commutatora study in equational logic and algebra /[electronic resource] :by Janusz Czelakowski. - Cham :Springer International Publishing :2015. - ix, 292 p. :ill., digital ;24 cm.

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 Bases for Relatively Congruence-Modular Quasivarieties.

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.

ISBN: 9783319212005$q(electronic bk.)

Standard No.: 10.1007/978-3-319-21200-5doiSubjects--Topical Terms:

522723
Algebraic logic.

LC Class. No.: QA10

Dewey Class. No.: 511.324

The equationally-defined commutatora study in equational logic and algebra /
LDR:02564nmm a2200313 a 4500 001 476933
003 DE-He213
005 20160413155223.0
006 m d
007 cr nn 008maaau
008 160526s2015 gw s 0 eng d
020 $a 9783319212005$q(electronic bk.)
020 $a 9783319211992$q(paper)
024 7 $a 10.1007/978-3-319-21200-5 $2 doi
035 $a 978-3-319-21200-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA10
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 511.324 $2 23
090 $a QA10 $b .C998 2015
100 1 $a Czelakowski, Janusz. $3 726902
245 1 4 $a The equationally-defined commutator $h [electronic resource] : $b a study in equational logic and algebra / $c by Janusz Czelakowski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a ix, 292 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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 Bases for Relatively Congruence-Modular Quasivarieties.
520 $a 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.
650 0 $a Algebraic logic. $3 522723
650 0 $a Equations. $3 272494
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Associative Rings and Algebras. $3 274818
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21200-5
950 $a Mathematics and Statistics (Springer-11649)