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Author :
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (91 download)
Download or read book Contributions to General Algebra written by and published by . This book was released on 1995 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Günter Pilz
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.E/5 ( download)
Download or read book Contributions to General Algebra 9 written by Günter Pilz and published by . This book was released on 1995 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anna B. Romanowska
Publisher : World Scientific
ISBN 13 : 9789810249427
Total Pages : 640 pages
Book Rating : 4.2/5 (494 download)
Download or read book Modes written by Anna B. Romanowska and published by World Scientific. This book was released on 2002 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and application of modes, covering topics in universal algebra, category theory, and modal theory, and includes exercises to illustrate concepts.
Author : Klaus Denecke
Publisher : CRC Press
ISBN 13 : 9781584882541
Total Pages : 400 pages
Book Rating : 4.8/5 (825 download)
Download or read book Universal Algebra and Applications in Theoretical Computer Science written by Klaus Denecke and published by CRC Press. This book was released on 2002-01-18 with total page 400 pages. 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.
Author : K. Glazek
Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)
Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).
Author : Peter Eklund
Publisher : Springer
ISBN 13 : 3540246517
Total Pages : 420 pages
Book Rating : 4.5/5 (42 download)
Download or read book Concept Lattices written by Peter Eklund and published by Springer. This book was released on 2011-04-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of ICFCA 2004, the 2nd International Conference on Formal Concept Analysis. The ICFCA conference series aims to be the premier forum for the publication of advances in applied lattice and order theory and in particular scienti?c advances related to formal concept analysis. Formal concept analysis emerged in the 1980s from e?orts to restructure lattice theory to promote better communication between lattice theorists and potentialusersoflatticetheory.Sincethen,the?eldhasdevelopedintoagrowing research area in its own right with a thriving theoretical community and an increasing number of applications in data and knowledge processing including data visualization, information retrieval, machine learning, data analysis and knowledge management. In terms of theory, formal concept analysis has been extended into attribute exploration, Boolean judgment, contextual logic and so on to create a powerful general framework for knowledge representation and reasoning. This conference aims to unify theoretical and applied practitioners who use formal concept an- ysis, drawing on the ?elds of mathematics, computer and library sciences and software engineering. The theme of the 2004 conference was ‘Concept Lattices” to acknowledge the colloquial term used for the line diagrams that appear in almost every paper in this volume. ICFCA 2004 included tutorial sessions, demonstrating the practical bene?ts of formal concept analysis, and highlighted developments in the foundational theory and standards. The conference showcased the increasing variety of formal concept analysis software and included eight invited lectures from distinguished speakersinthe?eld.Sevenoftheeightinvitedspeakerssubmittedaccompanying papers and these were reviewed and appear in this volume.
Author : Jonathan D. H. Smith
Publisher : CRC Press
ISBN 13 : 1420010638
Total Pages : 353 pages
Book Rating : 4.4/5 (2 download)
Download or read book An Introduction to Quasigroups and Their Representations written by Jonathan D. H. Smith and published by CRC Press. This book was released on 2006-11-15 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory,
Author : Bart Jacobs
Publisher : Cambridge University Press
ISBN 13 : 1107177898
Total Pages : 495 pages
Book Rating : 4.1/5 (71 download)
Download or read book Introduction to Coalgebra written by Bart Jacobs and published by Cambridge University Press. This book was released on 2017 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.
Author : Witold A. Pogorzelski
Publisher : Springer Science & Business Media
ISBN 13 : 3764385189
Total Pages : 186 pages
Book Rating : 4.7/5 (643 download)
Download or read book Completeness Theory for Propositional Logics written by Witold A. Pogorzelski and published by Springer Science & Business Media. This book was released on 2008-05-25 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. This approach allows also for a more profound view upon some essential properties of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.
Author : Sergei O. Kuznetsov
Publisher : Springer Science & Business Media
ISBN 13 : 3540708286
Total Pages : 337 pages
Book Rating : 4.5/5 (47 download)
Download or read book Formal Concept Analysis written by Sergei O. Kuznetsov and published by Springer Science & Business Media. This book was released on 2007-01-26 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Formal Concept Analysis, ICFCA 2007, held in Clermont-Ferrand, France in February 2007. The 19 revised full papers presented together with 1 invited lecture comprise state of the art research from foundational to applied lattice theory and related fields, all of which involve methods and techniques of formal concept analysis.
Author : George M. Bergman
Publisher : Springer
ISBN 13 : 3319114786
Total Pages : 574 pages
Book Rating : 4.3/5 (191 download)
Download or read book An Invitation to General Algebra and Universal Constructions written by George M. Bergman and published by Springer. This book was released on 2015-02-05 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895887
Total Pages : 262 pages
Book Rating : 4.8/5 (958 download)
Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Leonid A. Bokut'
Publisher : American Mathematical Soc.
ISBN 13 : 0821851381
Total Pages : 696 pages
Book Rating : 4.8/5 (218 download)
Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev written by Leonid A. Bokut' and published by American Mathematical Soc.. This book was released on 1992 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei V. Kelarev
Publisher : World Scientific
ISBN 13 : 9810247451
Total Pages : 218 pages
Book Rating : 4.8/5 (12 download)
Download or read book Ring Constructions and Applications written by Andrei V. Kelarev and published by World Scientific. This book was released on 2002 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.
Author : Bernhard Ganter
Publisher : Springer
ISBN 13 : 354044663X
Total Pages : 580 pages
Book Rating : 4.5/5 (44 download)
Download or read book Conceptual Structures: Logical, Linguistic, and Computational Issues written by Bernhard Ganter and published by Springer. This book was released on 2006-12-30 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computerscientistscreatemodelsofaperceivedreality.ThroughAItechniques, these models aim at providing the basic support for emulating cognitive - havior such as reasoning and learning, which is one of the main goals of the AI research e?ort. Such computer models are formed through the interaction of various acquisition and inference mechanisms: perception, concept learning, conceptual clustering, hypothesis testing, probabilistic inference, etc., and are represented using di?erent paradigms tightly linked to the processes that use them. Among these paradigms let us cite: biological models (neural nets, genetic programming), logic-based models (?rst-order logic, modal logic, rule-based s- tems), virtual reality models (object systems, agent systems), probabilistic m- els(Bayesiannets,fuzzylogic),linguisticmodels(conceptualdependencygraphs, language-based representations), etc. OneofthestrengthsoftheConceptualGraph(CG)theoryisitsversatilityin terms of the representation paradigms under which it falls. It can be viewed and therefore used, under di?erent representation paradigms, which makes it a p- ular choice for a wealth of applications. Its full coupling with di?erent cognitive processes lead to the opening of the ?eld toward related research communities such as the Description Logic, Formal Concept Analysis, and Computational Linguistic communities. We now see more and more research results from one community enrich the other, laying the foundations of common philosophical grounds from which a successful synergy can emerge.
Author : Gerhard Saad
Publisher : Springer Science & Business Media
ISBN 13 : 9400914814
Total Pages : 449 pages
Book Rating : 4.4/5 (9 download)
Download or read book Nearrings, Nearfields and K-Loops written by Gerhard Saad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This present volume is the Proceedings of the 14th International Conference on Near rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995. This Conference was attended by 70 mathematicians and many accompanying persons who represented 22 different countries from all five continents. Thus it was the largest conference devoted entirely to nearrings and nearfields. The first of these conferences took place in 1968 at the Mathematische For schungsinstitut Oberwolfach, Germany. This was also the site of the conferences in 1972, 1976, 1980 and 1989. The other eight conferences held before the Hamburg Conference took place in eight different countries. For details about this and, more over, for a general historical overview of the development of the subject, we refer to the article "On the beginnings and development of near-ring theory" by G. Betsch [3]. During the last forty years the theory of nearrings and related algebraic struc tures like nearfields, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features. In its position between group theory and ring theory, this relatively young branch of algebra has not only a close relationship to these two more well-known areas of algebra, but it also has, just as these two theories, very intensive connections to many further branches of mathematics.
Author : Sadok Ben Yahia
Publisher : Springer
ISBN 13 : 3540789219
Total Pages : 292 pages
Book Rating : 4.5/5 (47 download)
Download or read book Concept Lattices and Their Applications written by Sadok Ben Yahia and published by Springer. This book was released on 2008-03-13 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fourth International Conference on Concept Lattices and their Applications, CLA 2006, held in Tunis, Tunisia, October 30-November 1, 2006. The 18 revised full papers together with 3 invited contributions presented were carefully reviewed and selected from 41 submissions. The topics include formal concept analysis, foundations of FCA, mathematical structures related to FCA, relationship of FCA to other methods of data analysis, visualization of data in FCA, and applications of FCA.
