The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (144 download)

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Book Synopsis The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science by : Jonathan S. Golan

Download or read book The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science written by Jonathan S. Golan and published by . This book was released on 1990 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semirings

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Publisher : World Scientific
ISBN 13 : 9789810236014
Total Pages : 382 pages
Book Rating : 4.2/5 (36 download)

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Book Synopsis Semirings by : Udo Hebisch

Download or read book Semirings written by Udo Hebisch and published by World Scientific. This book was released on 1998 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the algebraic theory of semirings, including a detailed treatment of some applications in theoretical computer science. The focus is on the general concepts and statements of the algebraic theory of semirings and those aspects of the theory which are needed for the aforementioned applications. The book also deals with a concept of semirings that includes commutativity of addition, as is usually done for rings.

Semirings and their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401593337
Total Pages : 376 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Semirings and their Applications by : Jonathan S. Golan

Download or read book Semirings and their Applications written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision of the book was in order. Therefore, though the structure of the first «dition was preserved, the text was extensively rewritten and substantially expanded. In particular, references to many interesting and applications of semiring theory, developed in the past few years, had to be added. Unfortunately, I find that it is best not to go into these applications in detail, for that would entail long digressions into various domains of pure and applied mathematics which would only detract from the unity of the volume and increase its length considerably. However, I have tried to provide an extensive collection of examples to arouse the reader's interest in applications, as well as sufficient citations to allow the interested reader to locate them. For the reader's convenience, an index to these citations is given at the end of the book .

Semirings and Affine Equations Over Them

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Publisher :
ISBN 13 : 9789401703840
Total Pages : 256 pages
Book Rating : 4.7/5 (38 download)

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Book Synopsis Semirings and Affine Equations Over Them by : Jonathan S. Golan

Download or read book Semirings and Affine Equations Over Them written by Jonathan S. Golan and published by . This book was released on 2014-01-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Semirings with Applications to Automata Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642276407
Total Pages : 234 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Fuzzy Semirings with Applications to Automata Theory by : Javed Ahsan

Download or read book Fuzzy Semirings with Applications to Automata Theory written by Javed Ahsan and published by Springer Science & Business Media. This book was released on 2012-03-14 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.

Semirings: Algebraic Theory And Applications In Computer Science

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Publisher : World Scientific
ISBN 13 : 9814495697
Total Pages : 371 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Semirings: Algebraic Theory And Applications In Computer Science by : Hanns Joachim Weinert

Download or read book Semirings: Algebraic Theory And Applications In Computer Science written by Hanns Joachim Weinert and published by World Scientific. This book was released on 1998-10-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.

Power Algebras over Semirings

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Publisher : Springer
ISBN 13 : 9789401592420
Total Pages : 206 pages
Book Rating : 4.5/5 (924 download)

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Book Synopsis Power Algebras over Semirings by : Jonathan S. Golan

Download or read book Power Algebras over Semirings written by Jonathan S. Golan and published by Springer. This book was released on 2013-01-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a continuation of several themes presented in my previous books [146, 149]. In those volumes, I was concerned primarily with the properties of semirings. Here, the objects of investigation are sets of the form RA, where R is a semiring and A is a set having a certain structure. The problem is one of translating that structure to RA in some "natural" way. As such, it tries to find a unified way of dealing with diverse topics in mathematics and theoretical com puter science as formal language theory, the theory of fuzzy algebraic structures, models of optimal control, and many others. Another special case is the creation of "idempotent analysis" and similar work in optimization theory. Unlike the case of the previous work, which rested on a fairly established mathematical foundation, the approach here is much more tentative and docimastic. This is an introduction to, not a definitative presentation of, an area of mathematics still very much in the making. The basic philosphical problem lurking in the background is one stated suc cinctly by Hahle and Sostak [185]: ". . . to what extent basic fields of mathematics like algebra and topology are dependent on the underlying set theory?" The conflicting definitions proposed by various researchers in search of a resolution to this conundrum show just how difficult this problem is to see in a proper light.

Semirings and Affine Equations over Them

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Publisher : Springer Science & Business Media
ISBN 13 : 9401703833
Total Pages : 243 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Semirings and Affine Equations over Them by : Jonathan S. Golan

Download or read book Semirings and Affine Equations over Them written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory, the theory of discrete-event dynamical systems, automata theory, and formal language theory, as well as from the allied areas of theoretical computer science and theoretical physics. Most important applications of semiring theory in these areas turn out to revolve around the problem of finding the equalizer of a pair of affine maps between two semimodules. In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part of a trilogy, along with Semirings and their Applications, and Power Algebras over Semirings, both written by the same author and published by Kluwer Academic Publishers in 1999. While each book can be read independently of the others, to get the full force of the theory and applications one should have access to all three. This work will be of interest to academic and industrial researchers and graduate students. The intent of the book is to bring the applications to the attention of the abstract mathematicians and to make the abstract mathematics available to those who are using these tools in an ad-hoc manner without realizing the full force of the theory.

The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science

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Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science by : Jonathan S. Golan

Download or read book The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science written by Jonathan S. Golan and published by . This book was released on 1992 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Semirings with Applications to Automata Theory

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Publisher : Springer
ISBN 13 : 3642276415
Total Pages : 234 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Fuzzy Semirings with Applications to Automata Theory by : Javed Ahsan

Download or read book Fuzzy Semirings with Applications to Automata Theory written by Javed Ahsan and published by Springer. This book was released on 2012-03-05 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek

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).

Graphs, Dioids and Semirings

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Publisher : Springer Science & Business Media
ISBN 13 : 0387754504
Total Pages : 401 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Graphs, Dioids and Semirings by : Michel Gondran

Download or read book Graphs, Dioids and Semirings written by Michel Gondran and published by Springer Science & Business Media. This book was released on 2008-05-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.

Power Algebras over Semirings

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Publisher : Springer Science & Business Media
ISBN 13 : 9401592411
Total Pages : 207 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Power Algebras over Semirings by : Jonathan S. Golan

Download or read book Power Algebras over Semirings written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a continuation of several themes presented in my previous books [146, 149]. In those volumes, I was concerned primarily with the properties of semirings. Here, the objects of investigation are sets of the form RA, where R is a semiring and A is a set having a certain structure. The problem is one of translating that structure to RA in some "natural" way. As such, it tries to find a unified way of dealing with diverse topics in mathematics and theoretical com puter science as formal language theory, the theory of fuzzy algebraic structures, models of optimal control, and many others. Another special case is the creation of "idempotent analysis" and similar work in optimization theory. Unlike the case of the previous work, which rested on a fairly established mathematical foundation, the approach here is much more tentative and docimastic. This is an introduction to, not a definitative presentation of, an area of mathematics still very much in the making. The basic philosphical problem lurking in the background is one stated suc cinctly by Hahle and Sostak [185]: ". . . to what extent basic fields of mathematics like algebra and topology are dependent on the underlying set theory?" The conflicting definitions proposed by various researchers in search of a resolution to this conundrum show just how difficult this problem is to see in a proper light.

Groups, Rings And Modules With Applications

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Publisher : Universities Press
ISBN 13 : 9788173714290
Total Pages : 336 pages
Book Rating : 4.7/5 (142 download)

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Book Synopsis Groups, Rings And Modules With Applications by : M.R. Adhikari

Download or read book Groups, Rings And Modules With Applications written by M.R. Adhikari and published by Universities Press. This book was released on 2003 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Contemporary Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 0521705649
Total Pages : 370 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Surveys in Contemporary Mathematics by : Nicholas Young

Download or read book Surveys in Contemporary Mathematics written by Nicholas Young and published by Cambridge University Press. This book was released on 2008 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Current Trends In Theoretical Computer Science - Entering The 21st Century

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Publisher : World Scientific
ISBN 13 : 9814492051
Total Pages : 881 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Current Trends In Theoretical Computer Science - Entering The 21st Century by : Gheorghe Paun

Download or read book Current Trends In Theoretical Computer Science - Entering The 21st Century written by Gheorghe Paun and published by World Scientific. This book was released on 2001-02-12 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific developments at the end of the past millennium were dominated by the huge increase and diversity of disciplines with the common label “computer science”. The theoretical foundations of such disciplines have become known as theoretical computer science. This book highlights some key issues of theoretical computer science as they seem to us now, at the beginning of the new millennium.The text is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science in the period 1995-2000. The columnists themselves selected the material they wanted for the book, and the editors had a chance to update their work. Indeed, much of the material presented here appears in a form quite different from the original. Since the presentation of most of the articles is reader-friendly and does not presuppose much knowledge of the area, the book constitutes suitable supplementary reading material for various courses in computer science.

Basic Modern Algebra with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 8132215990
Total Pages : 650 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Basic Modern Algebra with Applications by : Mahima Ranjan Adhikari

Download or read book Basic Modern Algebra with Applications written by Mahima Ranjan Adhikari and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.