Subset Interval Groupoids
Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 248 |
Release | : |
Genre | : |
ISBN | : 1599732262 |
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Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 248 |
Release | : |
Genre | : |
ISBN | : 1599732262 |
Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 212 |
Release | : 2015 |
Genre | : Algebras, Linear |
ISBN | : 1599733684 |
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 |
Publisher | : Infinite Study |
Total Pages | : 242 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 1599731258 |
This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid.An interesting feature of this book is that introduces 77 new definitions substantiated and described by 426 examples and 150 theorems.
Author | : Madad Khan, Florentin Smarandache, Saima Anis |
Publisher | : Infinite Study |
Total Pages | : 210 |
Release | : 2015-04-01 |
Genre | : Fuzzy sets |
ISBN | : 1599733471 |
We extend now for the first time the AG-groupoid to the Neutrosophic AG-groupoid. A neutrosophic AG-groupoid is a neutrosophic algebraic structure that lies between a neutrosophic groupoid and a neutrosophic commutative semigroup.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 232 |
Release | : 2016-11-12 |
Genre | : Mathematics |
ISBN | : 1599734680 |
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 | : W.B. Vasantha Kandansamy, Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 210 |
Release | : |
Genre | : |
ISBN | : 1599731401 |
Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 180 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 1599732734 |
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 | : Volodymyr Nekrashevych |
Publisher | : American Mathematical Soc. |
Total Pages | : 120 |
Release | : 2015-08-21 |
Genre | : Mathematics |
ISBN | : 1470415445 |
The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-coverings, natural pseudogroups acting on leaves of stable (or unstable) foliation of an Anosov diffeomorphism, etc. The author describes a duality theory for hyperbolic groupoids. He shows that for every hyperbolic groupoid G there is a naturally defined dual groupoid G⊤ acting on the Gromov boundary of a Cayley graph of G. The groupoid G⊤ is also hyperbolic and such that (G⊤)⊤ is equivalent to G. Several classes of examples of hyperbolic groupoids and their applications are discussed.
Author | : Madad Khan, Florentin Smarandache, Tariq Aziz |
Publisher | : Infinite Study |
Total Pages | : 112 |
Release | : 2015-05-01 |
Genre | : Mathematics |
ISBN | : 1599733404 |
Author | : Mumtaz Ali |
Publisher | : Infinite Study |
Total Pages | : 20 |
Release | : |
Genre | : |
ISBN | : |
Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic groupoid and their generalization with the discuissionf of some of their characteristics