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The Resource The EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
The EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
Resource Information
The item The EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item The EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This monograph introduces and explores the notions of a commutator equation and the equationallydefined 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 equationallydefined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationallydefined commutator, and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The EquationallyDefined 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
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 IX, 292 p. 3 illus.
 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 CongruenceDistributive 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 CongruenceModular Quasivarieties
 Appendix 3: Inferential Bases for Relatively CongruenceModular Quasivarieties
 Isbn
 9783319212005
 Label
 The EquationallyDefined Commutator : A Study in Equational Logic and Algebra
 Title
 The EquationallyDefined Commutator
 Title remainder
 A Study in Equational Logic and Algebra
 Statement of responsibility
 by Janusz Czelakowski
 Subject

 Group Theory and Generalizations
 Rings (Algebra)
 Mathematics
 Mathematics
 Commutative Rings and Algebras
 Group theory
 Rings (Algebra)
 Associative Rings and Algebras
 Electronic resources
 Associative rings
 Mathematics
 Associative rings
 Commutative algebra
 Commutative algebra
 Commutative algebra
 Commutative rings
 Rings (Algebra)
 Group theory
 Commutative rings
 Associative rings
 Group theory
 Commutative rings
 Language
 eng
 Summary
 This monograph introduces and explores the notions of a commutator equation and the equationallydefined 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 equationallydefined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationallydefined commutator, and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The EquationallyDefined 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
 QA174183
 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 EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
 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 CongruenceDistributive 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 CongruenceModular Quasivarieties  Appendix 3: Inferential Bases for Relatively CongruenceModular 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
 10.1007/9783319212005
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319212005
 Label
 The EquationallyDefined Commutator : A Study in Equational Logic and Algebra, by Janusz Czelakowski, (electronic resource)
 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 CongruenceDistributive 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 CongruenceModular Quasivarieties  Appendix 3: Inferential Bases for Relatively CongruenceModular 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
 10.1007/9783319212005
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319212005
Subject
 Associative Rings and Algebras
 Associative rings
 Associative rings
 Associative rings
 Commutative Rings and Algebras
 Commutative algebra
 Commutative algebra
 Commutative algebra
 Commutative rings
 Commutative rings
 Commutative rings
 Electronic resources
 Group Theory and Generalizations
 Group theory
 Group theory
 Group theory
 Mathematics
 Mathematics
 Mathematics
 Rings (Algebra)
 Rings (Algebra)
 Rings (Algebra)
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