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The Equationally-Defined Commutator: A Study in Equational Logic and Algebra

The Equationally-Defined Commutator: A Study in Equational Logic and Algebra

Paperback

AlgebraGeneral Mathematics

ISBN10: 3319365789
ISBN13: 9783319365787
Publisher: Birkhauser
Published: Oct 22 2016
Pages: 292
Weight: 0.94
Height: 0.64 Width: 6.14 Depth: 9.21
Language: English

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.

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