Mod Natural Neutrosophic Subset Semigroups

Author : W. B. Vasantha Kandasamy ,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 46,6 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9781599734859

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MOD Natural Neutrosophic Subset Semigroups by W. B. Vasantha Kandasamy ,Ilanthenral K,Florentin Smarandache Pdf

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,K. Ilanthenral,Florentin Smarandche
Publisher : Infinite Study
Page : 128 pages
File Size : 49,5 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9781599734903

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MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche Pdf

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,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 263 pages
File Size : 52,9 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 8210379456XXX

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Mod Rectangular Natural Neutrosophic Numbers by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

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,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 43,6 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9781599733807

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Semigroups on MOD Natural Neutrosophic Elements by W B Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

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,Ilanthenral K
Publisher : Infinite Study
Page : 244 pages
File Size : 48,9 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 9781599735641

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Smarandache Special Elements in Multiset Semigroups by W. B. Vasantha Kandasamy,Ilanthenral K Pdf

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,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 215 pages
File Size : 44,9 Mb
Release : 2015-11-01
Category : Algebras, Linear
ISBN : 9781599733678

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Algebraic Structures on MOD Planes by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache Pdf

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 : Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun
Publisher : Infinite Study
Page : 8 pages
File Size : 44,8 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −ideals in semigroups by Balasubramanian Elavarasan,Florentin Smarandache,Young Bae Jun Pdf

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.

Author : Warud Nakkhasen
Publisher : Infinite Study
Page : 17 pages
File Size : 49,8 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic N-ideals in Ternary Semigroups by Warud Nakkhasen Pdf

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 : Vasantha W.B. , Ilanthenral Kandasamy , Florentin Smarandache
Publisher : Infinite Study
Page : 11 pages
File Size : 53,7 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Components Semigroups and Multiset Neutrosophic Components Semigroups by Vasantha W.B. , Ilanthenral Kandasamy , Florentin Smarandache Pdf

Neutrosophic components (NC) under addition and product form different algebraic structures over different intervals. In this paper authors for the first time define the usual product and sum operations on NC. Here four different NC are defined using the four different intervals: (0, 1), [0, 1), (0, 1] and [0, 1].

Author : K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun
Publisher : Infinite Study
Page : 13 pages
File Size : 55,5 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic ℵ −bi-ideals in semigroups by K. Porselvi,B. Elavarasan, F. Smarandache,Y. B. Jun Pdf

In this paper, we introduce the notion of neutrosophic ℵ-bi-ideal for a semigroup. We infer different semigroups using neutrosophic ℵ -bi-ideal structures. Moreover, for regular semigroups, neutrosophic ℵ-product and intersection of neutrosophic ℵ-ideals are identical.

Author : Vasantha KandasamyW.B.,Ilanthenral Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 43,5 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 8210379456XXX

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A Classical Group of Neutrosophic Triplet Groups by Vasantha KandasamyW.B.,Ilanthenral Kandasamy,Florentin Smarandache Pdf

Fuzzy set theory was introduced by Zadeh and was generalized to the Intuitionistic Fuzzy Set (IFS) by Atanassov. Real-world, uncertain, incomplete, indeterminate, and inconsistent data were presented philosophically as a neutrosophic set by Smarandache, who also studied the notion of neutralities that exist in all problems.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 154 pages
File Size : 46,6 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9781931233200

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Neutrosophic Rings by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.

Author : Tèmítópé Gbóláhàn Jaíyéolá,Florentin Smarandache
Publisher : Infinite Study
Page : 14 pages
File Size : 52,7 Mb
Release : 2018-11-01
Category : Mathematics
ISBN : 8210379456XXX

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Some Results on Neutrosophic Triplet Group and Their Applications by Tèmítópé Gbóláhàn Jaíyéolá,Florentin Smarandache Pdf

This article is based on new developments on a neutrosophic triplet group (NTG) and applications earlier introduced in 2016 by Smarandache and Ali. NTG sprang up from neutrosophic triplet set X: a collection of triplets (b, neut(b), anti(b)) for an b ∈ X that obeys certain axioms (existence of neutral(s) and opposite(s)). Some results that are true in classical groups were investigated in NTG and were shown to be either universally true in NTG or true in some peculiar types of NTG. Distinguishing features between an NTG and some other algebraic structures such as: generalized group (GG), quasigroup, loop and group were investigated. Some neutrosophic triplet subgroups (NTSGs) of a neutrosophic triplet group were studied. Applications of the neutrosophic triplet set, and our results on NTG in relation to management and sports, are highlighted and discussed.

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 220 pages
File Size : 45,6 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9781931233156

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Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

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 : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
Page : 116 pages
File Size : 41,7 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9781599731933

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Set Ideal Topological Spaces by W. B. Vasantha Kandasamy, Florentin Smarandache Pdf