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The Lattice of Subquasivarieties of a Locally Finite Quasivariety

  • Jennifer Hyndman
  • J. B. Nation

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Jennifer Hyndman, J. B. Nation
    Pages 1-10
  3. Jennifer Hyndman, J. B. Nation
    Pages 11-36
  4. Jennifer Hyndman, J. B. Nation
    Pages 37-47
  5. Jennifer Hyndman, J. B. Nation
    Pages 49-64
  6. Jennifer Hyndman, J. B. Nation
    Pages 65-102
  7. Jennifer Hyndman, J. B. Nation
    Pages 103-120
  8. Jennifer Hyndman, J. B. Nation
    Pages 121-132
  9. Jennifer Hyndman, J. B. Nation
    Pages 133-134
  10. Back Matter
    Pages 135-162

About this book

Introduction

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.

Keywords

Quasivariety Locally Finite Lattice Unary Algebra Relational Structure Subquasivariety Quasi-equation

Authors and affiliations

  • Jennifer Hyndman
    • 1
  • J. B. Nation
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of Northern British ColumbiaPrince GeorgeCanada
  2. 2.Department of MathematicsUniversity of HawaiiHonoluluUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-78235-5
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-78234-8
  • Online ISBN 978-3-319-78235-5
  • Series Print ISSN 1613-5237
  • Series Online ISSN 2197-4152
  • Buy this book on publisher's site
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