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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 195 pages
File Size : 52,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9781599731926
Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 209 pages
File Size : 48,9 Mb
Release : 2015
Category : Algebras, Linear
ISBN : 9781599733685
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
Page : 151 pages
File Size : 51,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9781599732220
Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 248 pages
File Size : 42,6 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599732268
Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 202 pages
File Size : 48,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9781599731940
Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 40,7 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599732732
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 : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 185 pages
File Size : 50,8 Mb
Release : 2015
Category : Neutrosophic logic
ISBN : 9781599733661
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
Page : 253 pages
File Size : 40,6 Mb
Release : 2024-06-25
Category : Mathematics
ISBN : 8210379456XXX
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.
Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 40,9 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599734590
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.
Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 44,7 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599734606
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.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 48,5 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682
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 Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 269 pages
File Size : 55,9 Mb
Release : 2013
Category : Mathematics
ISBN : 9781599732237
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.
Author : W. B. Vasantha Kandasamy,Ilanthenral K
Publisher : Infinite Study
Page : 244 pages
File Size : 50,8 Mb
Release : 2024-06-25
Category : Mathematics
ISBN : 9781599735641
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
Page : 199 pages
File Size : 45,8 Mb
Release : 2012
Category : Algebra, Boolean
ISBN : 9781599732169
"[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."--
Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 209 pages
File Size : 51,6 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9781599732251
