The lattice of subquasivarieties of a locally finite quasivariety

著者

    • Hyndman, Jennifer
    • Nation, J. B.

書誌事項

The lattice of subquasivarieties of a locally finite quasivariety

Jennifer Hyndman, J.B. Nation

(CMS books in mathematics)(Canadian mathematical society = Société mathématique du Canada)

Springer, c2018

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注記

Includes bibliographical references (p. 145-153) and indexes

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BB2688563X
  • ISBN
    • 9783319782348
  • LCCN
    2018937967
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xv, 162 p.
  • 大きさ
    25 cm
  • 親書誌ID
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