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Equationally-Defined Commutator

A Study in Equational Logic and Algebra

Janusz Czelakowski

Língua

Inglês

Livro Capa mole

Código Libristo: 15368785

Editoras Birkhauser Verlag AG, outubro 2016

This monograph introduces and explores the notions of a commutator equation and the equationally-def... Descrição completa

Código Libristo: 15368785

132 b

54.07 €

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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.