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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Release date: |
October 2016 |
First published: |
2015 |
Authors: |
Janusz Czelakowski
|
Dimensions: |
235 x 155 x 16mm (L x W x T) |
Format: |
Paperback
|
Pages: |
292 |
Edition: |
Softcover reprint of the original 1st ed. 2015 |
ISBN-13: |
978-3-319-36578-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
3-319-36578-9 |
Barcode: |
9783319365787 |
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