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The lattice of subquasivarieties of ...

Hyndman, Jennifer.

The lattice of subquasivarieties of a locally finite quasivariety

Record Type:	Electronic resources : Monograph/item
Title/Author:	The lattice of subquasivarieties of a locally finite quasivarietyby 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$q(electronic bk.)

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$q(electronic bk.)

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

822433
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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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 : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
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 822433
650 1 4 $a Algorithms. $3 184661
650 2 4 $a Algebra. $3 188312
700 1 $a Nation, J. B. $3 822432
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950 $a Mathematics and Statistics (Springer-11649)