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Synopsis
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.
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Review
“In this book, commutator theory is investigated from the perspective of algebraic logic. ... The book is addressed to algebraists and logicians interested in recent developements in the area of equational logic and the methods of abstract algebraic logic.” (Ivan Chajda, zbMATH 1352.08001, 2017)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2016
- ISBN 10 3319365789
- ISBN 13 9783319365787
- BindingPaperback
- LanguageEnglish
- Number of pages301
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The Equationally-Defined Commutator
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ISBN 10: 3319365789
ISBN 13: 9783319365787
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 304 pp. Englisch. Seller Inventory # 9783319365787
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The Equationally-Defined Commutator : A Study in Equational Logic and Algebra
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319365787
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The Equationally-Defined Commutator
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents new, original research not yet considered in the mathematics literature Provides new insight into commutator theory and offers an original conceptual apparatus which can be widely applied in algebra Poses several open problems. Seller Inventory # 448747607
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