Overview
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 whose solutions may contribute to the broadening of algebraic knowledge
Includes supplementary material: sn.pub/extras
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
Authors and Affiliations
Bibliographic Information
Book Title: The Equationally-Defined Commutator
Book Subtitle: A Study in Equational Logic and Algebra
Authors: Janusz Czelakowski
DOI: https://doi.org/10.1007/978-3-319-21200-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-21199-2Published: 15 September 2015
Softcover ISBN: 978-3-319-36578-7Published: 22 October 2016
eBook ISBN: 978-3-319-21200-5Published: 08 September 2015
Edition Number: 1
Number of Pages: IX, 292
Number of Illustrations: 3 b/w illustrations
Topics: Group Theory and Generalizations, Commutative Rings and Algebras, Associative Rings and Algebras