Interval Semirings

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 157 pages
File Size : 51,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9781599730332

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Interval Semirings by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

In this book the new notion of interval semirings are introduced. New structures like interval groups are used to construct interval group semirings. Further non-associative interval semirings are constructed using loops and groupoids. We have given 284 examples, 118 problems are proposed ¿ some of them at the research level.The main keywords are interval semirings, interval groups, interval matrix semirings, interval groupoid semirings, neutrosophic interval semirings, and loop interval semirings.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 172 pages
File Size : 48,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9781599731353

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Algebraic Structures Using Natural Class of Intervals by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 289 pages
File Size : 51,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9781599731537

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Algebraic Structures Using Super Inter Interval Matrices by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 237 pages
File Size : 44,6 Mb
Release : 2014-09-16
Category : Electronic
ISBN : 9781599732923

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Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)) by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built.

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 197 pages
File Size : 48,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9781599731667

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Neutrosophic Interval Bialgebraic Structures by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf

Author : Jonathan S. Golan
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 46,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401703833

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Semirings and Affine Equations over Them by Jonathan S. Golan Pdf

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.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 230 pages
File Size : 48,9 Mb
Release : 2015-02-15
Category : Electronic
ISBN : 9781599733333

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Special Type of Topological Spaces Using [0, n) by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 54,9 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 9781599732732

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Groupoids of Type I and II Using [0, n) by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

Study of algebraic structures built using [0, n) looks to be one of interesting and innovative research. Here we define two types of groupoids using [0, n), both of them are of infinite order. It is an open conjecture to find whether this new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity and so on.

Author : K. Glazek
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 49,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401599641

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

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 : Alexander N. Gorban,Dirk Roose
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 50,5 Mb
Release : 2010-10-21
Category : Mathematics
ISBN : 9783642149412

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Coping with Complexity: Model Reduction and Data Analysis by Alexander N. Gorban,Dirk Roose Pdf

This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis", Ambleside, UK, August 31 – September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.

Author : Alfred Henry Garrod,William Alexander Forbes
Publisher : Unknown
Page : 654 pages
File Size : 42,5 Mb
Release : 1881
Category : Anatomy
ISBN : HARVARD:HN4TJK

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The Collected Scientific Papers of the Late Alfred Henry Garrod by Alfred Henry Garrod,William Alexander Forbes Pdf

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 185 pages
File Size : 53,9 Mb
Release : 2015
Category : Neutrosophic logic
ISBN : 9781599733661

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Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache Pdf

The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.

Author : Renate Schmidt
Publisher : Springer
Page : 436 pages
File Size : 42,5 Mb
Release : 2006-10-04
Category : Mathematics
ISBN : 9783540378747

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Relations and Kleene Algebra in Computer Science by Renate Schmidt Pdf

The book constitutes the joint refereed proceedings of the 9th International Conference on Relational Methods in Computer Science, RelMiCS 2006, and the 4th International Workshop on Applications of Kleene Algebras, AKA 2006, held in Manchester, UK in August/September 2006. The 25 revised full papers presented together with two invited papers and the abstract of an invited talk were carefully reviewed and selected from 44 submissions.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 41,9 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682

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The Encyclopedia of Neutrosophic Researchers, Vol. I by Florentin Smarandache Pdf

This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Author : Kazimierz Głazek
Publisher : Unknown
Page : 156 pages
File Size : 48,5 Mb
Release : 1985
Category : Semirings (Mathematics)
ISBN : UOM:39015015605549

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A Short Guide Through the Literature on Semirings by Kazimierz Głazek Pdf