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The lattice of subquasivarieties of a locally finite quasivariety

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The lattice of subquasivarieties of a locally finite quasivariety/ by Jennifer Hyndman, J. B. Nation.
作者:	Hyndman, Jennifer.
其他作者:	Nation, J. B.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xv, 162 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Quasivarieties (Universal algebra) -
電子資源:	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

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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.
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