Neutrosophic Rings

Neutrosophic Rings PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2006-01-01

Total Pages: 154

ISBN-13: 1931233209

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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.

A Study on Neutrosophic Zero Rings

A Study on Neutrosophic Zero Rings PDF

Author: T.Chalapathi

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Abstract algebra is largely concerned with the study of abstract sets endowed with one, or, more binary operations along with few axioms. In this paper, we consider one of the basic algebraic structures known as a ring, called a classical ring.

Refined Neutrosophic Rings I

Refined Neutrosophic Rings I PDF

Author: E.O. Adeleke

Publisher: Infinite Study

Published:

Total Pages: 5

ISBN-13:

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The study of refined neutrosophic rings is the objective of this paper. Substructures of refined neutrosophic rings and their elementary properties are presented. It is shown that every refined neutrosophic ring is a ring.

n - Refined Neutrosophic Rings

n - Refined Neutrosophic Rings PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

n- Refined Neutrosophic Rings

n- Refined Neutrosophic Rings PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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The aim of this paper is to introduce the concept of n-refined neutrosophic ring as a generalization of refined neutrosophic ring. Also, wepresent concept of n-refined polynomial ring. We study some basic concepts related to these rings such as AH-subrings, AH-ideals, AH-factors, and AH-homomorphisms.

Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2

Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2 PDF

Author: Mumtaz Ali

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599733064

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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.

Neutrosophic Sets and Systems, Vol. III

Neutrosophic Sets and Systems, Vol. III PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599732807

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This volume is a collection of ten papers, written by different authors and co-authors (listed in the order of the papers): F. Yuhua, A. A. Salama, F. Smarandache, S. A. Alblowi, M. Ali, M. Shabir, M. Naz, A. A. A. Agboola, S. A. Akinleye, M. Dhar, S. Broumi, P. Biswas, S. Pramanik, B. C. Giri, H. A. El-Ghareeb, A. M. Maine, V. Kandasamy, P. Sekar and J. Vidhyalakshmi. In first paper, the author proposed Expanding Newton Mechanics with Neutrosophy and Quad-stage Method-New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law. The Characteristic Function of a Neutrosophic Set is proposed in the second paper. Neutrosophic Left Almost Semigroup is studied in third paper. In fourth paper Neutrosophic Hypercompositional Structures defined by Binary Relations are introduced. Similarly in fifth paper A Note on Square Neutrosophic Fuzzy Matrices are discussed. In paper six A New Methodology for Neutrosophic Multi-Attribute Decision-Making with Unknown Weight Information is presented by the authors. Introduction to Develop Some Software Programs for dealing with Neutrosophic Sets is given in seventh paper. Paper eight is about to Soft Neutrosophic Ring and Soft Neutrosophic Field. In the next paper Rough Neutrosophic Sets are discussed. The authors introduced new type of Fuzzy Relational Equations and Neutrosophic Relational Equations-To Analyze Customer Preference to street shops in the last paper.

Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings

Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings PDF

Author: Vasantha W.B.

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed. Neutrosophic duplets and their properties were introduced by Florentin and other researchers have pursued this study.In this paper authors determine the neutrosophic duplets in neutrosophic rings of characteristic zero.

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