MOD Natural Neutrosophic Subset Semigroups

MOD Natural Neutrosophic Subset Semigroups PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734850
Category :
Languages : en
Pages : 362

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Book Description
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

MOD Natural Neutrosophic Subset Semigroups

MOD Natural Neutrosophic Subset Semigroups PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734850
Category :
Languages : en
Pages : 362

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Book Description
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

MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734907
Category :
Languages : en
Pages : 278

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Book Description
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.

Mod Rectangular Natural Neutrosophic Numbers

Mod Rectangular Natural Neutrosophic Numbers PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 263

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Book Description
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.

Semigroups on MOD Natural Neutrosophic Elements

Semigroups on MOD Natural Neutrosophic Elements PDF Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733803
Category : Algebras, Linear
Languages : en
Pages : 234

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Book Description
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.

Smarandache Special Elements in Multiset Semigroups

Smarandache Special Elements in Multiset Semigroups PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599735644
Category : Mathematics
Languages : en
Pages : 245

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Book Description
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.

Algebraic Structures on MOD Planes

Algebraic Structures on MOD Planes PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733676
Category : Algebras, Linear
Languages : en
Pages : 215

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Book Description
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.

Neutrosophic Rings

Neutrosophic Rings PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233209
Category : Mathematics
Languages : en
Pages : 154

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Book Description
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.

Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures

Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233152
Category : Mathematics
Languages : en
Pages : 220

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Book Description
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.

Set Ideal Topological Spaces

Set Ideal Topological Spaces PDF Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731932
Category :
Languages : en
Pages : 116

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Book Description


Neutrosophy

Neutrosophy PDF Author: Florentin Smarandache
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 110

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Book Description