Universal Algebra And Coalgebra
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Universal Algebra And Coalgebra
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Author : Klaus Denecke
language : en
Publisher: World Scientific
Release Date : 2009
Universal Algebra And Coalgebra written by Klaus Denecke and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Universal Coalgebra A Theory Of Systems
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Author : Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands).
language : en
Publisher:
Release Date : 1996
Universal Coalgebra A Theory Of Systems written by Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Universal Algebra For Computer Scientists
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Author : Wolfgang Wechler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Universal Algebra For Computer Scientists written by Wolfgang Wechler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
A new model-theoretic approach to universal algebra is offered in this book. Written for computer scientists, it presents a systematic development of the methods and results of universal algebra that are useful in a variety of applications in computer science. The notation is simple and the concepts are clearly presented. The book concerns the algebraic characterization of axiomatic classes of algebras (equational, implicational, and universal Horn classes) by closure operators generalizing the famous Birkhoff Variety Theorem, and the algebraic characterization of the related theories. The book also presents a thorough study of term rewriting systems. Besides basic notions, the Knuth-Bendix completion procedure and termination proof methods are considered. A third main topic is that of fixpoint techniques and complete ordered algebras. Algebraic specifications of abstract data types and algebraic semantics of recursive program schemes are treated as applications. The book is self-contained and suitable both as a textbook for graduate courses and as a reference for researchers.
Lectures In Universal Algebra
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Author : L. Szabó
language : en
Publisher: Elsevier
Release Date : 2016-01-22
Lectures In Universal Algebra written by L. Szabó and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-22 with Mathematics categories.
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
Introduction To Coalgebra
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Author : Bart Jacobs
language : en
Publisher:
Release Date : 2017
Introduction To Coalgebra written by Bart Jacobs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with MATHEMATICS categories.
Official Summary Of Security Transactions And Holdings Reported To The Securities And Exchange Commission Under The Securities Exchange Act Of 1934 And The Public Utility Holding Company Act Of 1935
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Author : United States. Securities and Exchange Commission
language : en
Publisher:
Release Date : 1988
Official Summary Of Security Transactions And Holdings Reported To The Securities And Exchange Commission Under The Securities Exchange Act Of 1934 And The Public Utility Holding Company Act Of 1935 written by United States. Securities and Exchange Commission and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Securities categories.
Universal Algebra
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Author : P.M. Cohn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Universal Algebra written by P.M. Cohn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d'Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensive comments. particularly on Chapter VII and the supplementary chapters. I have also con sulted reviews of the first edition, as well as the Italian and Russian translations.
Universal Algebra
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Author : Clifford Bergman
language : en
Publisher: CRC Press
Release Date : 2011-09-20
Universal Algebra written by Clifford Bergman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Computers categories.
Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author’s two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, a clone of operations, terms, free algebras, Birkhoff’s theorem, and standard Maltsev conditions. The second part covers topics that demonstrate the power and breadth of the subject. The author discusses the consequences of Jónsson’s lemma, finitely and nonfinitely based algebras, definable principal congruences, and the work of Foster and Pixley on primal and quasiprimal algebras. He also includes a proof of Murskiĭ’s theorem on primal algebras and presents McKenzie’s characterization of directly representable varieties, which clearly shows the power of the universal algebraic toolbox. The last chapter covers the rudiments of tame congruence theory. Throughout the text, a series of examples illustrates concepts as they are introduced and helps students understand how universal algebra sheds light on topics they have already studied, such as Abelian groups and commutative rings. Suitable for newcomers to the field, the book also includes carefully selected exercises that reinforce the concepts and push students to a deeper understanding of the theorems and techniques.
A Treatise On Universal Algebra
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1898
A Treatise On Universal Algebra written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Algebra categories.
Topics In Universal Algebra
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Author : B. Jonsson
language : en
Publisher: Springer
Release Date : 2006-11-15
Topics In Universal Algebra written by B. Jonsson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.