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The lattice of subquasivarieties of a locally finite quasivariety

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The lattice of subquasivarieties of a locally finite quasivariety/ by Jennifer Hyndman, J. B. Nation.
Author:	Hyndman, Jennifer.
other author:	Nation, J. B.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xv, 162 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Quasivarieties (Universal algebra) -
Online resource:	https://doi.org/10.1007/978-3-319-78235-5
ISBN:	9783319782355

The lattice of subquasivarieties of a locally finite quasivariety
Hyndman, Jennifer.

The lattice of subquasivarieties of a locally finite quasivariety[electronic resource] /by Jennifer Hyndman, J. B. Nation. - Cham :Springer International Publishing :2018. - xv, 162 p. :ill., digital ;24 cm. - CMS books in mathematics, ouvrages de mathematiques de la SMC,1613-5237. - CMS books in mathematics, ouvrages de mathematiques de la SMC..

Introduction and Background -- Structure of Lattices of Subquasivarieties -- Omission and Bases for Quasivarieties -- Analyzing Lq(K) -- Unary Algebras with 2-element Range -- 1-Unary Algebras -- Pure Unary Relational Structures -- Problems -- Appendix A: Properties of Lattices of Subquasivarieties.

This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. Particular attention is paid to the role of quasicritical algebras. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory of quasivarieties. Extensive references to the literature are provided throughout.

ISBN: 9783319782355

Standard No.: 10.1007/978-3-319-78235-5doiSubjects--Topical Terms:

672226
Quasivarieties (Universal algebra)

LC Class. No.: QA251 / .H963 2018

Dewey Class. No.: 512.897

The lattice of subquasivarieties of a locally finite quasivariety
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100 1 $a Hyndman, Jennifer. $3 1208743
245 1 4 $a The lattice of subquasivarieties of a locally finite quasivariety $h [electronic resource] / $c by Jennifer Hyndman, J. B. Nation.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xv, 162 p. : $b ill., digital ; $c 24 cm.
490 1 $a CMS books in mathematics, ouvrages de mathematiques de la SMC, $x 1613-5237
505 0 $a Introduction and Background -- Structure of Lattices of Subquasivarieties -- Omission and Bases for Quasivarieties -- Analyzing Lq(K) -- Unary Algebras with 2-element Range -- 1-Unary Algebras -- Pure Unary Relational Structures -- Problems -- Appendix A: Properties of Lattices of Subquasivarieties.
520 $a This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. Particular attention is paid to the role of quasicritical algebras. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory of quasivarieties. Extensive references to the literature are provided throughout.
650 0 $a Quasivarieties (Universal algebra) $3 672226
650 1 4 $a Algorithms. $3 527865
650 2 4 $a Algebra. $2 gtt $3 579870
700 1 $a Nation, J. B. $3 1208744
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a CMS books in mathematics, ouvrages de mathematiques de la SMC. $3 881286
856 4 0 $u https://doi.org/10.1007/978-3-319-78235-5
950 $a Mathematics and Statistics (Springer-11649)

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