The lattice of subquasivarieties of a locally finite quasivariety
Author(s)
Bibliographic Information
The lattice of subquasivarieties of a locally finite quasivariety
(CMS books in mathematics)(Canadian mathematical society = Société mathématique du Canada)
Springer, c2018
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Note
Includes bibliographical references (p. 145-153) and indexes
Description and Table of Contents
Description
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.
Table of Contents
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.
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