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Some Implicativities For Groupoids And Bck Algebras
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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.
Book Synopsis An Introduction to Groups, Groupoids and Their Representations by : Alberto Ibort
Download or read book An Introduction to Groups, Groupoids and Their Representations written by Alberto Ibort and published by CRC Press. This book was released on 2019-10-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject. Category theory is the natural language that is being used to develop the theory of groupoids. However, categorical presentations of mathematical subjects tend to become highly abstract very fast and out of reach of many potential users. To avoid this, foundations of the theory, starting with simple examples, have been developed and used to study the structure of finite groups and groupoids. The appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the theory on the same level as the ordinary and elementary theories of finite groups and their representations, and provides a unified picture of the same. The structure of the algebra of finite groupoids is analysed, along with the classical theory of characters of their representations. Unnecessary complications in the formal presentation of the subject are avoided. The book offers an introduction to the language of category theory in the concrete setting of finite sets. It also shows how this perspective provides a common ground for various problems and applications, ranging from combinatorics, the topology of graphs, structure of databases and quantum physics.
Book Synopsis Notes on Categories and Groupoids by : Philip J. Higgins
Download or read book Notes on Categories and Groupoids written by Philip J. Higgins and published by . This book was released on 1971 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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:
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.
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.
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.
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.
