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M-Solid Varieties of Algebras

2006-02-10 Mathematics
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Release : 2006-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis M-Solid Varieties of Algebras by : Jörg Koppitz

Download or read book M-Solid Varieties of Algebras written by Jörg Koppitz. This book was released on 2006-02-10. Available in PDF, EPUB and Kindle. Book excerpt: A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.

M-Solid Varieties of Algebras

2008-11-01 Mathematics
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Release : 2008-11-01
Genre : Mathematics
Kind : eBook
Book Rating : 368/5 ( reviews)

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Book Synopsis M-Solid Varieties of Algebras by : Jörg Koppitz

Download or read book M-Solid Varieties of Algebras written by Jörg Koppitz. This book was released on 2008-11-01. Available in PDF, EPUB and Kindle. Book excerpt: A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.

Universal Algebra and Applications in Theoretical Computer Science

2018-10-03 Mathematics
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Release : 2018-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 835/5 ( reviews)

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Book Synopsis Universal Algebra and Applications in Theoretical Computer Science by : Klaus Denecke

Download or read book Universal Algebra and Applications in Theoretical Computer Science written by Klaus Denecke. This book was released on 2018-10-03. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subject are long out of print and, to date, no other book has integrated these theories with the long-established work that supports them. Universal Algebra and Applications in Theoretical Computer Science introduces the basic concepts of universal algebra and surveys some of the newer developments in the field. The first half of the book provides a solid grounding in the core material. A leisurely pace, careful exposition, numerous examples, and exercises combine to form an introduction to the subject ideal for beginning graduate students or researchers from other areas. The second half of the book focuses on applications in theoretical computer science and advanced topics, including Mal'cev conditions, tame congruence theory, clones, and commutators. The impact of the advances in universal algebra on computer science is just beginning to be realized, and the field will undoubtedly continue to grow and mature. Universal Algebra and Applications in Theoretical Computer Science forms an outstanding text and offers a unique opportunity to build the foundation needed for further developments in its theory and in its computer science applications.

Universal Algebra and Coalgebra

2009 Mathematics
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Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)

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Book Synopsis Universal Algebra and Coalgebra by : Klaus Denecke

Download or read book Universal Algebra and Coalgebra written by Klaus Denecke. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.

Algebras, Lattices, Varieties

2022-10-28 Mathematics
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Release : 2022-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 976/5 ( reviews)

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Book Synopsis Algebras, Lattices, Varieties by : Ralph S. Freese

Download or read book Algebras, Lattices, Varieties written by Ralph S. Freese. This book was released on 2022-10-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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