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Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 159973379X
Category : Neutrosophic logic
Languages : en
Pages : 147
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Book Description
The study of MOD Structures is new and innovative. The authors in this book propose several problems on MOD Structures, some of which are at the research level.
Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 159973379X
Category : Neutrosophic logic
Languages : en
Pages : 147
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Book Description
The study of MOD Structures is new and innovative. The authors in this book propose several problems on MOD Structures, some of which are at the research level.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599736012
Category : Mathematics
Languages : en
Pages : 319
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Book Description
In this book any network which can be represented as a multigraph is referred to as a multi network. Several properties of multigraphs have been described and developed in this book. When multi path or multi walk or multi trail is considered in a multigraph, it is seen that there can be many multi walks, and so on between any two nodes and this makes multigraphs very different.
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732122
Category : Mathematics
Languages : en
Pages : 168
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Book Description
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.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733684
Category : Algebras, Linear
Languages : en
Pages : 212
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Book Description
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
ISBN: 1599732238
Category : Mathematics
Languages : en
Pages : 269
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Book Description
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
Publisher: Infinite Study
ISBN: 1599734869
Category : Neutrosophic logic
Languages : en
Pages : 228
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Book Description
In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731932
Category :
Languages : en
Pages : 116
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Book Description
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733641
Category : Neutrosophic logic
Languages : en
Pages : 205
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Book Description
In this book the notion of MOD functions are defined on MOD planes. This new concept of MOD functions behaves in a very different way. Even very simple functions like y = nx has several zeros in MOD planes where as they are nice single line graphs with only (0, 0) as the only zero. Further polynomials in MOD planes do not in general follows the usual or classical laws of differentiation or integration.
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731967
Category :
Languages : en
Pages : 154
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Book Description
