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Special Quasi Dual Numbers And Groupoids
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Author :W. B. Vasantha Kandasamy, Florentin Smarandache Publisher :Infinite Study ISBN 13 :1599731924 Total Pages :195 pages Book Rating :4.5/5 (997 download)
Book Synopsis Special Quasi Dual Numbers and Groupoids by : W. B. Vasantha Kandasamy, Florentin Smarandache
Download or read book Special Quasi Dual Numbers and Groupoids written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Associative Algebraic Structures on MOD Planes by : W. B. Vasantha Kandasamy
Download or read book Non-Associative Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.
Author :W. B. Vasantha Kandasamy, Florentin Smarandache Publisher :Infinite Study ISBN 13 :159973222X Total Pages :151 pages Book Rating :4.5/5 (997 download)
Book Synopsis Subset Groupoids by : W. B. Vasantha Kandasamy, Florentin Smarandache
Download or read book Subset Groupoids written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2013 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :W. B. Vasantha Kandasamy, Florentin Smarandache Publisher :Infinite Study ISBN 13 :1599731967 Total Pages :154 pages Book Rating :4.5/5 (997 download)
Book Synopsis Quasi Set Topological Vector Subspaces by : W. B. Vasantha Kandasamy, Florentin Smarandache
Download or read book Quasi Set Topological Vector Subspaces written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subset Interval Groupoids by : W. B. Vasantha Kandasamy
Download or read book Subset Interval Groupoids written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :W. B. Vasantha Kandasamy, Florentin Smarandache Publisher :Infinite Study ISBN 13 :1599731940 Total Pages :202 pages Book Rating :4.5/5 (997 download)
Book Synopsis Neutrosophic Super Matrices and Quasi Super Matrices by : W. B. Vasantha Kandasamy, Florentin Smarandache
Download or read book Neutrosophic Super Matrices and Quasi Super Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groupoids of Type I and II Using [0, n) by : W. B. Vasantha Kandasamy
Download or read book Groupoids of Type I and II Using [0, n) written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2014 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by : W. B. Vasantha Kandasamy
Download or read book Natural Neutrosophic Numbers and MOD Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache Publisher :Infinite Study ISBN 13 : Total Pages :253 pages Book Rating :4./5 ( download)
Book Synopsis Special Subset Vertex Multisubgraphs for Multi Networks by : W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache
Download or read book Special Subset Vertex Multisubgraphs for Multi Networks written by W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache and published by Infinite Study. This book was released on with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors study special type of subset vertex multi subgraphs; these multi subgraphs can be directed or otherwise. Another special feature of these subset vertex multigraphs is that we are aware of the elements in each vertex set and how it affects the structure of both subset vertex multisubgraphs and edge multisubgraphs. It is pertinent to record at this juncture that certain ego centric directed multistar graphs become empty on the removal of one edge, there by theorising the importance, and giving certain postulates how to safely form ego centric multi networks.
Book Synopsis Special Type of Fixed Points of MOD Matrix Operators by : W. B. Vasantha Kandasamy
Download or read book Special Type of Fixed Points of MOD Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce a special type of fixed points using MOD square matrix operators. These special type of fixed points are different from the usual classical fixed points. These special type of fixed points or special realized limit cycles are always guaranteed as we use only MOD matrices as operators with its entries from modulo integers. However this sort of results are NP hard problems if we use reals or complex numbers.
Book Synopsis Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators by : W. B. Vasantha Kandasamy
Download or read book Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time define a special type of fixed points using MOD rectangular matrices as operators. In this case the special fixed points or limit cycles are pairs which is arrived after a finite number of iterations. Such study is both new and innovative for it can find lots of applications in mathematical modeling.
Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache
Download or read book The Encyclopedia of Neutrosophic Researchers, 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Subset Polynomial Semirings and Subset Matrix Semirings by : W. B. Vasantha Kandasamy
Download or read book Subset Polynomial Semirings and Subset Matrix Semirings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2013 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce the new notions of subset polynomial semirings and subset matrix semirings. Solving subset polynomial equations is an interesting exercise. Open problems about the solution set of subset polynomials are proposed.
Book Synopsis Smarandache Special Elements in Multiset Semigroups by : W. B. Vasantha Kandasamy
Download or read book Smarandache Special Elements in Multiset Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authors in this book study the notion of Smarandache element in multiset semigroups. It is important to keep on record that we define four operations on multisets viz. +, X, union and intersection in a free way. Thus all sets finite or infinite order contribute to infinite order multisets and the semigroup under any of these operations is of infinite order.
Author :W. B. Vasantha Kandasamy, Florentin Smarandache Publisher :Infinite Study ISBN 13 :1599732165 Total Pages :199 pages Book Rating :4.5/5 (997 download)
Book Synopsis Algebraic Structures Using Subsets by : W. B. Vasantha Kandasamy, Florentin Smarandache
Download or read book Algebraic Structures Using Subsets written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--
Book Synopsis Subset Non Associative Semirings by : W. B. Vasantha Kandasamy
Download or read book Subset Non Associative Semirings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plithogenic Graphs by : W. B. Vasantha Kandasamy
Download or read book Plithogenic Graphs written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.
