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The Equationally-Defined Commutator

A Study in Equational Logic and Algebra

Authors: Czelakowski, Janusz

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  • 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
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eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-21200-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for Mexico
  • ISBN 978-3-319-21199-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for Mexico
  • ISBN 978-3-319-36578-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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

“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)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-21200-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for Mexico
  • ISBN 978-3-319-21199-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for Mexico
  • ISBN 978-3-319-36578-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Equationally-Defined Commutator
Book Subtitle
A Study in Equational Logic and Algebra
Authors
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-21200-5
DOI
10.1007/978-3-319-21200-5
Hardcover ISBN
978-3-319-21199-2
Softcover ISBN
978-3-319-36578-7
Edition Number
1
Number of Pages
IX, 292
Number of Illustrations
3 b/w illustrations
Topics