Some Implicativities for Groupoids and BCK-Algebras

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Some Implicativities for Groupoids and BCK-Algebras by : In Ho Hwang

Download or read book Some Implicativities for Groupoids and BCK-Algebras written by In Ho Hwang and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we generalize the notion of an implicativity discussed in BCK-algebras, and apply it to some groupoids and BCK-algebras. We obtain some relations among those axioms in the theory of groupoids.

On Pre-Commutative Algebras

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Pre-Commutative Algebras by : Hee Sik Kim

Download or read book On Pre-Commutative Algebras written by Hee Sik Kim and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative BCK-algebra is bounded.

Generalized Fibonacci sequences in groupoids

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Fibonacci sequences in groupoids by : Hee Sik Kim

Download or read book Generalized Fibonacci sequences in groupoids written by Hee Sik Kim and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.

Groupoid Factorizations In The Semigroup Of Binary Systems

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4./5 ( download)

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Book Synopsis Groupoid Factorizations In The Semigroup Of Binary Systems by : Hiba F. Fayoumi

Download or read book Groupoid Factorizations In The Semigroup Of Binary Systems written by Hiba F. Fayoumi and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce two methods of factorization for this binary system under the binary groupoid product in the semigroup. We conclude that a strong non-idempotent groupoid can be represented as a product of its similar- and signature- derived factors. Moreover, we show that a groupoid with the orientation property is a product of its orient- and skew- factors. These unique factorizations can be useful for various applications in other areas of study. Application to algebras such as B/BCH/BCI/BCK/BH/BI/d-algebra are widely given throughout this paper.

Groupoids in Analysis, Geometry, and Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821856185
Total Pages : 210 pages
Book Rating : 4.8/5 (561 download)

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Book Synopsis Groupoids in Analysis, Geometry, and Physics by : Arlan Ramsay

Download or read book Groupoids in Analysis, Geometry, and Physics written by Arlan Ramsay and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groupoids often occur when there is symmetry of a nature not expressible in terms of groups. Other uses of groupoids can involve something of a dynamical nature. Indeed, some of the main examples come from group actions. It should also be noted that in many situations where groupoids have been used, the main emphasis has not been on symmetry or dynamics issues. While the implicit symmetry and dynamics are relevant, the groupoid records mostly the structure of the space of leaves and the holonomy. More generally, the use of groupoids is very much related to various notions of orbit equivalance. This book presents the proceedings from the Joint Summer Research Conference on ''Groupoids in Analysis, Geometry, and Physics'' held in Boulder, CO. The book begins with an introduction to ways in which groupoids allow a more comprehensive view of symmetry than is seen via groups. Topics range from foliations, pseudo-differential operators, $KK$-theory, amenability, Fell bundles, and index theory to quantization of Poisson manifolds. Readers will find examples of important tools for working with groupoids. This book is geared to students and researchers. It is intended to improve their understanding of groupoids and to encourage them to look further while learning about the tools used.

A Tool Kit for Groupoid C*-algebras

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Publisher :
ISBN 13 : 9781470454098
Total Pages : 417 pages
Book Rating : 4.4/5 (54 download)

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Book Synopsis A Tool Kit for Groupoid C*-algebras by : Dana P. Williams

Download or read book A Tool Kit for Groupoid C*-algebras written by Dana P. Williams and published by . This book was released on 2019 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of a C^*}-algebra from a locally compact groupoid is an important generalization of the group C^*}-algebra construction and of the transformation group C^*}-algebra construction. Since their introduction in 1980, groupoid C^*}-algebras have been intensively studied with diverse applications, including graph algebras, classification theory, variations on the Baum-Connes conjecture, and noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who wants to use groupoid C^*}-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools used in the subject, which will allow the reader to understand fundamental results and make contributions to various areas in the subject. Thus, in addition to covering the basic properties and construction of groupoid C^*}-algebras, the focus is to give a modern treatment of some of the major developments in the subject in recent years, including the Equivalence Theorem and the Disintegration Theorem. Also covered are the complicated subjects of amenability of groupoids and simplicity results. The book is reasonably self-contained and accessible to graduate students with a good background in operator algebras.

Certain Notions of Neutrosophic Topological K-Algebras

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Certain Notions of Neutrosophic Topological K-Algebras by : Muhammad Akram

Download or read book Certain Notions of Neutrosophic Topological K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

N-Algebraic Structures

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Publisher : Infinite Study
ISBN 13 : 1931233055
Total Pages : 209 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis N-Algebraic Structures by : W. B. Vasantha Kandasamy

Download or read book N-Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005-01-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, for the first time we introduce the notions of N-groups, N-semigroups, N-loops and N-groupoids. We also define a mixed N-algebraic structure. The book is organized into six chapters. The first chapter gives the basic notions of S-semigroups, S-groupoids and S-loops thereby making the book self-contained. Chapter two introduces N-groups and their Smarandache analogues. In chapter three, N-loops and Smarandache N-loops are introduced and analyzed. Chapter four defines N-groupoids and S-N-groupoids. Since the N-semigroup structures are sandwiched between groups and groupoids, the study can be carried out without any difficulty. Mixed N-algebraic structures and S-mixed algebraic structures are given in chapter five. Some problems are suggested in chapter six. It is pertinent to mention that several exercises and problems (Some in the form of proof to the theorems are given in all the chapters.) A reader who attempts to solve them will certainly gain a sound knowledge about these concepts. We have given 50 problems for the reader to solve in chapter 6. The main aim of this book is to introduce new concepts and explain them with examples there by encouraging young mathematics to pursue research in this direction. Several theorems based on the definition can be easily proved with simple modification. Innovative readers can take up that job. Also these notions find their applications in automaton theory and coloring problems. The N-semigroups and N-automaton can be applied to construct finite machines, which can perform multitasks, so their capability would be much higher than the usual automaton of finite machines constructed. We have suggested a list of references for further reading.

BCK-algebras

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Publisher :
ISBN 13 : 9788972821175
Total Pages : 294 pages
Book Rating : 4.8/5 (211 download)

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Book Synopsis BCK-algebras by : Jie Meng

Download or read book BCK-algebras written by Jie Meng and published by . This book was released on 1994-06-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebras of Logic as BCK Algebras

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Publisher :
ISBN 13 : 9786065050914
Total Pages : 569 pages
Book Rating : 4.0/5 (59 download)

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Book Synopsis Algebras of Logic as BCK Algebras by : Afrodita Iorgulescu

Download or read book Algebras of Logic as BCK Algebras written by Afrodita Iorgulescu and published by . This book was released on 2008 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited)

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) by : Florentin Smarandache

Download or read book Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined.

Basic Posets

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Publisher : World Scientific
ISBN 13 : 9789810235895
Total Pages : 192 pages
Book Rating : 4.2/5 (358 download)

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Book Synopsis Basic Posets by : J. Neggers

Download or read book Basic Posets written by J. Neggers and published by World Scientific. This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hassle diagram to build graphical intuition for the structure of finite posits. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.

NeutroAlgebra is a Generalization of Partial Algebra

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra is a Generalization of Partial Algebra by :

Download or read book NeutroAlgebra is a Generalization of Partial Algebra written by and published by Infinite Study. This book was released on 2020-03-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2019 & 2020 Smarandache generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. And, in general, he extended any classical Structure, in no matter what field of knowledge, to a NeutroStructure and an AntiStructure.

International Journal of Neutrosophic Science (IJNS) Volume 5, 2020

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 5, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 5, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.