Lattice of Subquasivarieties of a Locally Finite Quasivariety

AvJennifer Hyndman,J. B. Nation

Häftad, Engelska, 2019

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2019-01-10
Mått:155 x 235 x 11 mm
Vikt:283 g
Format:Häftad
Språk:Engelska
Serie:CMS Books in Mathematics
Antal sidor:162
Förlag:Springer Nature Switzerland AG
ISBN:9783030086510

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Programmeringsböcker inom Data och IT

Mer om författaren

Jennifer Hyndman was a founding faculty member of the University of Northern British Columbia. There she honed her passion for teaching that led to her winning the Canadian Mathematical Society Excellence in Teaching Award. When not engrossed in research on natural duality theory or quasi-equational theory she can be found in a dance studio learning jazz, modern, and ballet choreography.J. B. Nation is professor emeritus at the University of Hawaii. His research interests include lattice theory, universal algebra, coding theory and bio-informatics. He enjoys running, refereeing soccer, and playing jazz flugelhorn.

Innehållsförteckning

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.