The Lattice Of Subquasivarieties Of A Locally Finite Quasivariety

Author : Jennifer Hyndman,J. B. Nation
Publisher : Springer
Page : 162 pages
File Size : 43,5 Mb
Release : 2018-08-28
Category : Computers
ISBN : 9783319782355

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The Lattice of Subquasivarieties of a Locally Finite Quasivariety by Jennifer Hyndman,J. B. Nation Pdf

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.

Author : Jennifer Hyndman,James Bryant Nation
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 2018
Category : Quasivarieties (Universal algebra)
ISBN : 3319782363

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The Lattice of Subquasivarieties of a Locally Finite Quasivariety by Jennifer Hyndman,James Bryant Nation Pdf

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.

Author : Kira Adaricheva,Jennifer Hyndman,J. B. Nation,Joy N. Nishida
Publisher : Springer Nature
Page : 293 pages
File Size : 52,6 Mb
Release : 2022-08-18
Category : Mathematics
ISBN : 9783030980887

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A Primer of Subquasivariety Lattices by Kira Adaricheva,Jennifer Hyndman,J. B. Nation,Joy N. Nishida Pdf

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.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 262 pages
File Size : 42,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 0821895885

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Ordered Sets and Lattices II by Anonim Pdf

This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

Author : Anonim
Publisher : Elsevier
Page : 1184 pages
File Size : 40,7 Mb
Release : 2003-10-15
Category : Mathematics
ISBN : 0080532977

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Handbook of Algebra by Anonim Pdf

Handbook of Algebra

Author : Alex Citkin,Ioannis M. Vandoulakis
Publisher : Springer Nature
Page : 319 pages
File Size : 55,5 Mb
Release : 2022-11-08
Category : Mathematics
ISBN : 9783031068430

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V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by Alex Citkin,Ioannis M. Vandoulakis Pdf

This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.

Author : Ralph S. Freese,Jaroslav Ježek,James Bryant Nation
Publisher : American Mathematical Soc.
Page : 293 pages
File Size : 53,7 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821803899

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Free Lattices by Ralph S. Freese,Jaroslav Ježek,James Bryant Nation Pdf

This book explores the surprisingly rich and complex structure of free lattices. The first part of the book presents a complete exposition of the basic theory of free lattices, projective lattices, and lattices which are bounded homomorphic images of a free lattice, as well as applications of these results to other areas. This portion of the book is suitable for use in a graduate course in lattice theory or general algebra. The second part of the book contains new results about free lattices and new proofs of known results, providing the reader with a coherent picture of the fine structure of free lattices.The book closes with an analysis of algorithms for free lattices and finite lattices that is accessible to researchers in other areas and depends only on the first chapter and a small part of the second. Several open problems appear throughout the book and, for easy reference, are assembled in a section at the end. Synthesizing seventy years of research, this is the only comprehensive treatment available of the theory of free lattices.

Author : George Grätzer,Friedrich Wehrung
Publisher : Birkhäuser
Page : 616 pages
File Size : 51,7 Mb
Release : 2016-10-08
Category : Mathematics
ISBN : 9783319442365

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Lattice Theory: Special Topics and Applications by George Grätzer,Friedrich Wehrung Pdf

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Author : Ralph S. Freese,Ralph N. McKenzie,George F. McNulty,Walter F. Taylor
Publisher : American Mathematical Society
Page : 496 pages
File Size : 46,7 Mb
Release : 2022-10-28
Category : Mathematics
ISBN : 9781470467975

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Algebras, Lattices, Varieties by Ralph S. Freese,Ralph N. McKenzie,George F. McNulty,Walter F. Taylor Pdf

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.

Author : American Mathematical Society
Publisher : Unknown
Page : 758 pages
File Size : 52,6 Mb
Release : 1970
Category : Electronic journals
ISBN : UCAL:B3635463

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Proceedings of the American Mathematical Society by American Mathematical Society Pdf

Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.

Author : Kira Adaricheva,William DeMeo,Jennifer Hyndman
Publisher : Lulu.com
Page : 119 pages
File Size : 48,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781387772483

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Algebras and Lattices in Hawai'i: honoring Ralph Freese, Bill Lampe, and JB Nation by Kira Adaricheva,William DeMeo,Jennifer Hyndman Pdf

Author : Romanowska Anna B,Smith Jonathan D H
Publisher : World Scientific Publishing Company
Page : 636 pages
File Size : 48,9 Mb
Release : 2002-10-04
Category : Mathematics
ISBN : 9789813105966

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Modes by Romanowska Anna B,Smith Jonathan D H Pdf

This book is an introduction to the theory and application of modes — structures that capture the common underlying algebra of convex sets, affine spaces and certain ordered sets. Modes appear in many branches of mathematics, particularly geometry and combinatorics, and have been used in computer science, economics, physics, and biology. The initial stage of the theory was set out in the authors' research monograph Modal Theory (published in 1985). The present book provides a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics from universal algebra, category theory and model theory, and the foundations of the theory of modes, as well as more advanced topics leading to the forefront of current research in the field.The authors have included a wide range of exercises, usually placed at the end of the section, and indexed alphabetically. Some exercises are simply designed to familiarize readers with the notation and concepts. Others are more difficult, extending the content of the sections in which they appear, and providing a foretaste of further research./a

Author : Anonim
Publisher : Unknown
Page : 872 pages
File Size : 40,8 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015078588574

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Mathematical Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 822 pages
File Size : 49,5 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015046583715

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Bulletin of the Polish Academy of Sciences by Anonim Pdf

Author : American Mathematical Society
Publisher : Unknown
Page : 1228 pages
File Size : 44,7 Mb
Release : 1973
Category : Electronic journals
ISBN : UVA:X001416732

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Notices of the American Mathematical Society by American Mathematical Society Pdf