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

Czelakowski, Janusz

 
9783319212012: The Equationally-Defined Commutator: A Study in Equational Logic and Algebra

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Synopsis

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.

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