CMS Books in Mathematics

The Lattice of Subquasivarieties of a Locally Finite Quasivariety

Authors: Hyndman, Jennifer, Nation, J.B.

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  • Presents the basic theory of quasivarieties in an accessible manner
  • Provides examples throughout, showing how the algorithms are applied in practice
  • Includes appendix with recent developments and references to the literature
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  • ISBN 978-3-319-78235-5
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About this book

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.

About the authors

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-319-78235-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $99.99
price for USA in USD
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Lattice of Subquasivarieties of a Locally Finite Quasivariety
Authors
Series Title
CMS Books in Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-78235-5
DOI
10.1007/978-3-319-78235-5
Hardcover ISBN
978-3-319-78234-8
Softcover ISBN
978-3-030-08651-0
Series ISSN
1613-5237
Edition Number
1
Number of Pages
XV, 162
Number of Illustrations
51 b/w illustrations
Topics