Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A Study of Some Neutrosophic Differential Equations as a Direct Application of One Dimensional Geometric AH Isometry written by Ahmed A. Salama and published by Infinite Study. This book was released on 2022-01-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

Download or read book Neutrosophic Linear Space Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we give a review about neutrosophic linear spaces and their properties.

Download or read book Recent Advantages In Neutrosophic Module Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is dedicated to give the interested reader a good review and background in recent developments in the field of neutrosophic algebraic module theory.

Download or read book International Journal of Neutrosophic Science IJNS Volume 14 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications.

Download or read book New Research on Neutrosophic Algebraic Structures written by Mumtaz Ali and published by Infinite Study. This book was released on 2014 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.

Download or read book A Review On Recent Developments of Neutrosophic Matrix Theory and Open Problems written by Mohammad Abobala and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Soft Neutrosophic Algebraic Structures and Their Generalization Vol 2 written by Mumtaz Ali and published by Infinite Study. This book was released on 2014-12-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized collections of neutrosophic sub-algebraic structures of the neutrosophic algebraic structure. An important feature of this book is that the authors introduce the soft neutrosophic group ring, soft neutrosophic semigroup ring with its generalization, and soft mixed neutrosophic N-algebraic structure over neutrosophic group ring, then the neutrosophic semigroup ring and mixed neutrosophic N-algebraic structure respectively.

Download or read book Solutions of Some Kandasamy Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers written by Basheer Abd Al Rida Sadiq and published by Infinite Study. This book was released on 2023-01-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to study the neutrosophic complex finite rings 𝐶(𝑍𝑛) 𝑎𝑛𝑑 𝐶(< 𝑍𝑛 ∪ 𝐼 >), and to give a classification theorem of these rings. Also, this work introduces full solutions for 12 Kandasamy-Smarandache open problems concerning these structures of generalized rings modulo integers. Also, a necessary and sufficient condition of invertibility in 𝐶(𝑍𝑛) 𝑎𝑛𝑑 𝐶(< 𝑍𝑛 ∪ 𝐼 >) is presented as a partial solution of the famous group of units problem.

Download or read book Neutrosophic Sets and Systems Vol 43 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.

Download or read book Set Ideal Topological Spaces written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Behaviour of ring ideal in neutrosophic and soft sense written by Tuhin Bera and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article enriches the idea of neutrosophic soft ideal (NSI). The notion of neutrosophic soft prime ideal (NSPI) is also introduced here. The characteristics of both NSI and NSPI are investigated. Their relations are drawn with the concept of ideal and prime ideal in crisp sense. Any neutrosophic soft set (Nss) can be made into NSI or NSPI using the respective cut set under a situation. The homomorphic characters of ideal and prime ideal in this new class are also drawn critically.

Download or read book Finite Neutrosophic Complex Numbers written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Some Neutrosophic Algebraic Structures and Neutrosophic N Algebraic Structures written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Commutative MBJ neutrosophic ideals of BCK algebras written by Y.B. Jun and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of commutative MBJ-neutrosophic ideal is introduced, and several properties are investigated. Relations between MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal are considered. Characterizations of commutative MBJ-neutrosophic ideal are discussed.

Download or read book Algebraic Structures Using Natural Class of Intervals written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2011 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Erasure Techniques in MRD Codes written by W. B. Vasantha Kandasamy, Florentin Smarandache, R. Sujatha, R. S. Raja Duray and published by Infinite Study. This book was released on 2012 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the notions of erasure techniques to MRD codes and concatenated MRD codes are introduced. Special type of concatenated supercodes using linear codes are given, which may find its application in networking.