Language:
English
繁體中文
Help
圖資館首頁
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
The equationally-defined commutatora...
~
Czelakowski, Janusz.
The equationally-defined commutatora study in equational logic and algebra /
Record Type:
Electronic resources : Monograph/item
Title/Author:
The equationally-defined commutatorby Janusz Czelakowski.
Reminder of title:
a study in equational logic and algebra /
Author:
Czelakowski, Janusz.
Published:
Cham :Springer International Publishing :2015.
Description:
ix, 292 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Algebraic logic.
Online resource:
http://dx.doi.org/10.1007/978-3-319-21200-5
ISBN:
9783319212005$q(electronic bk.)
The equationally-defined commutatora study in equational logic and algebra /
Czelakowski, Janusz.
The equationally-defined commutator
a study in equational logic and algebra /[electronic resource] :by Janusz Czelakowski. - Cham :Springer International Publishing :2015. - ix, 292 p. :ill., digital ;24 cm.
Introduction -- Basic Properties of Quasivarieties -- Commutator Equations and the Equationally Defined Commutator -- Centralization Relations -- Additivity of the Equationally Defined Commutator -- Modularity and Related Topics -- Additivity of the Equationally Defined Commutator and Relatively Congruence-Distributive Dub quasivarieties -- More on Finitely Generated Quasivarieties -- Commutator Laws in Finitely Generated Quasivarieties -- Appendix 1: Algebraic Lattices -- Appendix 2: A Proof of Theorem 3.3.4 for Relatively Congruence-Modular Quasivarieties -- Appendix 3: Inferential Bases for Relatively Congruence-Modular Quasivarieties.
This monograph introduces and explores the notions of a commutator equation and the equationally-defined commutator from the perspective of abstract algebraic logic. An account of the commutator operation associated with equational deductive systems is presented, with an emphasis placed on logical aspects of the commutator for equational systems determined by quasivarieties of algebras. The author discusses the general properties of the equationally-defined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationally-defined commutator, and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The Equationally-Defined Commutator will be of interest to professional algebraists and logicians, as well as graduate students and other researchers interested in problems of modern algebraic logic.
ISBN: 9783319212005$q(electronic bk.)
Standard No.: 10.1007/978-3-319-21200-5doiSubjects--Topical Terms:
522723
Algebraic logic.
LC Class. No.: QA10
Dewey Class. No.: 511.324
The equationally-defined commutatora study in equational logic and algebra /
LDR
:02564nmm a2200313 a 4500
001
476933
003
DE-He213
005
20160413155223.0
006
m d
007
cr nn 008maaau
008
160526s2015 gw s 0 eng d
020
$a
9783319212005$q(electronic bk.)
020
$a
9783319211992$q(paper)
024
7
$a
10.1007/978-3-319-21200-5
$2
doi
035
$a
978-3-319-21200-5
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA10
072
7
$a
PBG
$2
bicssc
072
7
$a
MAT002010
$2
bisacsh
082
0 4
$a
511.324
$2
23
090
$a
QA10
$b
.C998 2015
100
1
$a
Czelakowski, Janusz.
$3
726902
245
1 4
$a
The equationally-defined commutator
$h
[electronic resource] :
$b
a study in equational logic and algebra /
$c
by Janusz Czelakowski.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
$c
2015.
300
$a
ix, 292 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
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.
520
$a
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.
650
0
$a
Algebraic logic.
$3
522723
650
0
$a
Equations.
$3
272494
650
1 4
$a
Mathematics.
$3
184409
650
2 4
$a
Group Theory and Generalizations.
$3
274819
650
2 4
$a
Commutative Rings and Algebras.
$3
274057
650
2 4
$a
Associative Rings and Algebras.
$3
274818
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-21200-5
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
ALL
電子館藏
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
000000120152
電子館藏
1圖書
電子書
EB QA10 C998 2015
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Multimedia file
http://dx.doi.org/10.1007/978-3-319-21200-5
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login