The Resource The Equationally-Defined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)

The Equationally-Defined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)

Label
The Equationally-Defined Commutator : A Study in Equational Logic and Algebra
Title
The Equationally-Defined Commutator
Title remainder
A Study in Equational Logic and Algebra
Statement of responsibility
by Janusz Czelakowski
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
http://library.link/vocab/creatorName
Czelakowski, Janusz
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Mathematics
  • Associative rings
  • Rings (Algebra)
  • Commutative algebra
  • Commutative rings
  • Group theory
  • Mathematics
  • Group Theory and Generalizations
  • Commutative Rings and Algebras
  • Associative Rings and Algebras
Label
The Equationally-Defined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Basic Properties of Quasivarieties -- Commutator Equations and the Equationally Defined Commutator -- Centralization Relations -- Additivity of the Equationally Defined Commutator -- Modularity and Related Topics -- Additivity of the Equationally Defined Commutator and Relatively Congruence-Distributive Dub quasivarieties -- More on Finitely Generated Quasivarieties -- Commutator Laws in Finitely Generated Quasivarieties -- Appendix 1: Algebraic Lattices.- Appendix 2: A Proof of Theorem 3.3.4 for Relatively Congruence-Modular Quasivarieties -- Appendix 3: Inferential Bases for Relatively Congruence-Modular Quasivarieties
Dimensions
unknown
Edition
1st ed. 2015.
Extent
IX, 292 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319212005
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-21200-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-21200-5
Label
The Equationally-Defined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Basic Properties of Quasivarieties -- Commutator Equations and the Equationally Defined Commutator -- Centralization Relations -- Additivity of the Equationally Defined Commutator -- Modularity and Related Topics -- Additivity of the Equationally Defined Commutator and Relatively Congruence-Distributive Dub quasivarieties -- More on Finitely Generated Quasivarieties -- Commutator Laws in Finitely Generated Quasivarieties -- Appendix 1: Algebraic Lattices.- Appendix 2: A Proof of Theorem 3.3.4 for Relatively Congruence-Modular Quasivarieties -- Appendix 3: Inferential Bases for Relatively Congruence-Modular Quasivarieties
Dimensions
unknown
Edition
1st ed. 2015.
Extent
IX, 292 p. 3 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319212005
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-21200-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-21200-5

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