The Lattice of Subquasivarieties of a Locally Finite Quasivariety

Nonfiction, Science & Nature, Mathematics, Algebra, Computers, Programming
Cover of the book The Lattice of Subquasivarieties of a Locally Finite Quasivariety by Jennifer Hyndman, J. B. Nation, Springer International Publishing
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Author: Jennifer Hyndman, J. B. Nation ISBN: 9783319782355
Publisher: Springer International Publishing Publication: August 28, 2018
Imprint: Springer Language: English
Author: Jennifer Hyndman, J. B. Nation
ISBN: 9783319782355
Publisher: Springer International Publishing
Publication: August 28, 2018
Imprint: Springer
Language: English

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.

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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.

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