| The Equationally-Defined Commutator: A Study in Equational Logic and Algebra 2015 Edition Contributor(s): Czelakowski, Janusz (Author) |
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ISBN: 3319211994 ISBN-13: 9783319211992 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: September 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
| Dewey: 512.2 |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.33 lbs) 292 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |