M-Solid Varieties of Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook M-Solid Varieties of Algebras write by Jörg Koppitz. This book was released on 2006-02-10. M-Solid Varieties of Algebras available in PDF, EPUB and Kindle. 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
M-Solid Varieties of Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook M-Solid Varieties of Algebras write by Jörg Koppitz. This book was released on 2008-11-01. M-Solid Varieties of Algebras available in PDF, EPUB and Kindle. 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.
Algebras, Lattices, Varieties
Algebras, Lattices, Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebras, Lattices, Varieties write by Ralph S. Freese. This book was released on 2022-10-28. Algebras, Lattices, Varieties available in PDF, EPUB and Kindle. 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.
Universal Algebra and Applications in Theoretical Computer Science
Universal Algebra and Applications in Theoretical Computer Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra and Applications in Theoretical Computer Science write by Klaus Denecke. This book was released on 2018-10-03. Universal Algebra and Applications in Theoretical Computer Science available in PDF, EPUB and Kindle. 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
Universal Algebra and Coalgebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra and Coalgebra write by Klaus Denecke. This book was released on 2009. Universal Algebra and Coalgebra available in PDF, EPUB and Kindle. 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.
