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The equationally-defined commutator[...

Czelakowski, Janusz.

The equationally-defined commutator[electronic resource] :a study in equational logic and algebra /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	511.324
タイトル / 著者:	The equationally-defined commutator : a study in equational logic and algebra // by Janusz Czelakowski.
著者:	Czelakowski, Janusz.
出版された:	Cham : : Springer International Publishing :, 2015.
記述:	ix, 292 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Equations.
主題:	Mathematics.
主題:	Group Theory and Generalizations.
主題:	Commutative Rings and Algebras.
主題:	Associative Rings and Algebras.
主題:	Algebraic logic.
国際標準図書番号 (ISBN) :	9783319212005
国際標準図書番号 (ISBN) :	9783319211992
[NT 15000228] null:	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.
[NT 15000229] null:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21200-5

The equationally-defined commutator[electronic resource] :a 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

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

635660
Equations.

LC Class. No.: QA10

Dewey Class. No.: 511.324

The equationally-defined commutator[electronic resource] :a study in equational logic and algebra /
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245 1 4 $a The equationally-defined commutator $h [electronic resource] : $b a study in equational logic and algebra / $c by Janusz Czelakowski.
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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 Equations. $3 635660
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Group Theory and Generalizations. $3 464956
650 2 4 $a Commutative Rings and Algebras. $3 464925
650 2 4 $a Associative Rings and Algebras. $3 465754
650 0 $a Algebraic logic. $3 610896
710 2 $a SpringerLink (Online service) $3 463450
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)

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http://dx.doi.org/10.1007/978-3-319-21200-5

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