The Equationally-Defined Commutator - A Study in Equational Logic and Algebra (Hardcover, 1st ed. 2015)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Release date:	September 2015
First published:	2015
Authors:	Janusz Czelakowski
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Hardcover
Pages:	292
Edition:	1st ed. 2015
ISBN-13:	978-3-319-21199-2
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-319-21199-4
Barcode:	9783319211992

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