A Primer Of Subquasivariety Lattices
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A Primer Of Subquasivariety Lattices
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Author : Kira Adaricheva
language : en
Publisher: Springer Nature
Release Date : 2022-08-18
A Primer Of Subquasivariety Lattices written by Kira Adaricheva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-18 with Mathematics categories.
This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics of atomic theories and implicational theories in languages that may, or may not, contain equality. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator. As an application of this new approach, it is shown that completely distributive lattices with a dually compact least element are subquasivariety lattices. The book contains many examples to illustrate these principles, as well as open problems. Ultimately this new approach gives readers a set of tools to investigate classes of lattices that can be represented as subquasivariety lattices.
A Primer Of Subquasivariety Lattices
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Author : Kira Adaricheva
language : en
Publisher:
Release Date : 2022
A Primer Of Subquasivariety Lattices written by Kira Adaricheva and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Electronic books categories.
This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics of atomic theories and implicational theories in languages that may, or may not, contain equality. Subquasivariety lattices are represented as lattices of closed algebraic subsets of a lattice with operators, which yields new restrictions on the equaclosure operator. As an application of this new approach, it is shown that completely distributive lattices with a dually compact least element are subquasivariety lattices. The book contains many examples to illustrate these principles, as well as open problems. Ultimately this new approach gives readers a set of tools to investigate classes of lattices that can be represented as subquasivariety lattices.
The Lattice Of Subquasivarieties Of A Locally Finite Quasivariety
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Author : Jennifer Hyndman
language : en
Publisher: Springer
Release Date : 2018-08-28
The Lattice Of Subquasivarieties Of A Locally Finite Quasivariety written by Jennifer Hyndman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Computers categories.
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.
Algebras Lattices Varieties
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Author : Ralph S. Freese
language : en
Publisher: American Mathematical Society
Release Date : 2022-10-28
Algebras Lattices Varieties written by Ralph S. Freese and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-28 with Mathematics categories.
This book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.
Varieties Of Lattices
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Author : Peter Jipsen
language : en
Publisher:
Release Date : 2014-01-15
Varieties Of Lattices written by Peter Jipsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Lattices Over Orders Ii
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Author : Klaus W. Roggenkamp
language : en
Publisher: Springer
Release Date : 1970-01-01
Lattices Over Orders Ii written by Klaus W. Roggenkamp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-01-01 with Mathematics categories.
Continuous Lattices
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Author : B. Banaschewski
language : en
Publisher:
Release Date : 2014-09-01
Continuous Lattices written by B. Banaschewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.