The Lattice of Subquasivarieties of a Locally Finite Quasivariety

Jennifer / Nation Hyndman

162 pages, parution le 10/09/2018

Ajouter à une liste

Indisponible

Résumé

This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures.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.

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.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.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Jennifer / Nation Hyndman
Parution	10/09/2018
Nb. de pages	162
EAN13	9783319782348

Avantages Eyrolles.com

Livraison à partir de 0,01 € en France métropolitaine

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ d'un million et demi de livres disponibles

The Lattice of Subquasivarieties of a Locally Finite Quasivariety

Résumé

Caractéristiques techniques

Consultez aussi