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Algebraic Structures Using Subsets

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Algebraic Structures Using Subsets

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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2012

Algebraic Structures Using Subsets written by W. B. Vasantha Kandasamy, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebra, Boolean categories.

"[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."--

An Introduction To Algebraic Structures

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Author : Joseph Landin
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01

An Introduction To Algebraic Structures written by Joseph Landin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.

As the author notes in the preface, "The purpose of this book is to acquaint a broad spectrum of students with what is today known as 'abstract algebra.'" Written for a one-semester course, this self-contained text includes numerous examples designed to base the definitions and theorems on experience, to illustrate the theory with concrete examples in familiar contexts, and to give the student extensive computational practice.The first three chapters progress in a relatively leisurely fashion and include abundant detail to make them as comprehensible as possible. Chapter One provides a short course in sets and numbers for students lacking those prerequisites, rendering the book largely self-contained. While Chapters Four and Five are more challenging, they are well within the reach of the serious student.The exercises have been carefully chosen for maximum usefulness. Some are formal and manipulative, illustrating the theory and helping to develop computational skills. Others constitute an integral part of the theory, by asking the student to supply proofs or parts of proofs omitted from the text. Still others stretch mathematical imaginations by calling for both conjectures and proofs.Taken together, text and exercises comprise an excellent introduction to the power and elegance of abstract algebra. Now available in this inexpensive edition, the book is accessible to a wide range of students, who will find it an exceptionally valuable resource. Unabridged, corrected Dover (1989) republication of the edition published by Allyn and Bacon, Boston, 1969.

Algebraic Structures Using Subsets

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Author :
language : en
Publisher:
Release Date : 2012

Algebraic Structures Using Subsets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebra, Boolean categories.

Subset Polynomial Semirings And Subset Matrix Semirings

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2013

Subset Polynomial Semirings And Subset Matrix Semirings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.

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.

Groupoids Of Type I And Ii Using 0 N

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2014

Groupoids Of Type I And Ii Using 0 N written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.

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.

Subset Non Associative Semirings

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Subset Non Associative Semirings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Special Type Of Topological Spaces Using 0 N

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015-02-15

Special Type Of Topological Spaces Using 0 N written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-15 with Algebras, Linear categories.

In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

Special Subset Vertex Multisubgraphs For Multi Networks

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Author : W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Special Subset Vertex Multisubgraphs For Multi Networks written by W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

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.

Subset Vertex Multigraphs And Neutrosophic Multigraphs For Social Multi Networks

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2019

Subset Vertex Multigraphs And Neutrosophic Multigraphs For Social Multi Networks written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.

In this book authors introduce the notion of subset vertex multigraphs for the first time. The study of subset vertex graphs was introduced in 2018, however they are not multiedged, further they were unique once the vertex subsets are given. These subset vertex multigraphs are also unique once the vertex subsets are given and the added advantage is that the number of common elements between two vertex subsets accounts for the number of edges between them, when there is no common element there is no edge between them.

Subset Vertex Graphs For Social Networks

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Subset Vertex Graphs For Social Networks written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Social information networks concept was introduced or perceived by researchers Emile Durkheim and Ferdinand Tonnies as social groups as early as 1890’s . However Tonnies argued that social groups can exist as personal and direct social ties that either link individuals who share values and beliefs or impersonal, formal and instrumental social links but Durkheim gave a non individualistic explanation of social facts arguing that social phenomena arise when interacting individuals constitute a reality that can no longer be accounted for in terms of the properties of individual actors. Georg Simmel analyzed the network size on interaction and examined and likelihood of interaction in loosely knit networks rather than groups.

Algebraic Structures Using Subsets

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