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| Author | : W. B. Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 362 |
| Release | : 2016 |
| Genre | : |
| ISBN | : 1599734850 |
In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists
| Author | : W. B. Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 278 |
| Release | : |
| Genre | : |
| ISBN | : 1599734907 |
In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.
| Author | : W. B. Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 263 |
| Release | : |
| Genre | : |
| ISBN | : |
In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.
| Author | : W B Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 234 |
| Release | : 2016 |
| Genre | : Algebras, Linear |
| ISBN | : 1599733803 |
In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.
| Author | : W. B. Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 244 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 1599735644 |
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 |
| Publisher | : Infinite Study |
| Total Pages | : 215 |
| Release | : 2015-11-01 |
| Genre | : Algebras, Linear |
| ISBN | : 1599733676 |
Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.
| Author | : W. B. Vasantha Kandasamy |
| Publisher | : Infinite Study |
| Total Pages | : 188 |
| Release | : 2015 |
| Genre | : Neutrosophic logic |
| ISBN | : 1599733668 |
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 |
| Publisher | : Infinite Study |
| Total Pages | : 220 |
| Release | : 2006-01-01 |
| Genre | : Mathematics |
| ISBN | : 1931233152 |
This book for the first time introduces neutrosophic groups, neutrosophic semigroups, neutrosophic loops and neutrosophic groupoids and their neutrosophic N-structures.The special feature of this book is that it tries to analyze when the general neutrosophic algebraic structures like loops, semigroups and groupoids satisfy some of the classical theorems for finite groups viz. Lagrange, Sylow, and Cauchy.This is mainly carried out to know more about these neutrosophic algebraic structures and their neutrosophic N-algebraic structures.
| Author | : Warud Nakkhasen |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The objective of this paper is to extend the concept of neutrosophic N-ideals in semigroups to ternary semigroups and investigate some of its properties. Moreover, consider characterizations of neutrosophic N-left (resp., N-lateral, N-right) ideals by using the notion of neutrosophic N-products. Furthermore, we show that the homomorphic preimage and the onto homomorphic image of neutrosophic N-left (resp., N-lateral, N-right) ideals are also neutrosophic N-left (resp., N-lateral, N-right) ideals in ternary semigroups.
| Author | : Balasubramanian Elavarasan |
| Publisher | : Infinite Study |
| Total Pages | : 8 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The aim of this paper is to introduce the notion of neutrosophic ℵ −ideals in semigroups and investigate their properties. Conditions for neutrosophic ℵ −structure to be a neutrosophic ℵ −ideal are provided. We also discuss the concept of characteristic neutrosophic ℵ −structure of semigroups and its related properties.
