{"product_id":"the-equationally-defined-commutator-a-study-in-equational-logic-and-algebra-9783319211992","title":"The Equationally-Defined Commutator: A Study in Equational Logic and Algebra","description":"\u003cp\u003e • Author(s): Janusz Czelakowski\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003ePresenting new and original research not yet considered in the mathematical literature, \u003ci\u003eThe Equationally-Defined Commutator\u003c\/i\u003e will be of interest to professional algebraists and logicians, as well as graduate students and other researchers interested in problems of modern algebraic logic.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45276870410391,"sku":"9783319211992","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319211992.webp?v=1769286876","url":"https:\/\/atlanticbooks.com\/products\/the-equationally-defined-commutator-a-study-in-equational-logic-and-algebra-9783319211992","provider":"Atlantic Books","version":"1.0","type":"link"}