Theory on Duplicity of Finite Neutrosophic Rings PDF Download
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Author: T. Chalapathi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
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Book Description
This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields.
Author: T. Chalapathi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
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Book Description
This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields.
Author: Jana, Chiranjibe
Publisher: IGI Global
ISBN: 1799801926
Category : Mathematics
Languages : en
Pages : 439
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Book Description
In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.
Author: Titu Popescu
Publisher: Infinite Study
ISBN: 1931233535
Category : Literary Criticism
Languages : ro
Pages : 100
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Book Description
Author: Florentin Smarandache
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 110
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Book Description
Author: T.Chalapathi
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 10
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Book Description
Algebraic Neutrosophic theory is an abstract branch of modern mathematics that originated from classical algebra through the composition of Neutrosophic theory. Its development started few years ago, and now a days Neutrosophic analytic methods and results are important in various fields of engineering science and applied mathematics with its applications.
Author: Gilberto Bini
Publisher: Springer Science & Business Media
ISBN: 1461509572
Category : Technology & Engineering
Languages : en
Pages : 181
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Book Description
Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
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Book Description
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 193123387X
Category : Mathematics
Languages : en
Pages : 149
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Book Description
For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.
Author: David Lewis
Publisher:
ISBN: 9781513641409
Category : Germany
Languages : en
Pages : 334
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Book Description
Triumph of the Will? solves one of the 20th century's most baffling mysteries. What transformed Adolf Hitler from a purposeless drifter into a leader able to manipulate the minds of millions? In October 1918 Adolf Hitler, a lance-corporal in the Austrian army, lost his sight following a British gas attack. Doctors diagnosed his blindness as being due not to physical injury but hysteria. He had suffered a mental breakdown.Rather than being treated in a nearby hospital, he was sent 600 miles from the Front to a 'nerve' clinic in the Pomeranian town of Pasewalk. There Dr Edmund Robert Forster, one of Germany's leading hysteria specialists, used hypnosis to treat him. Although his sight was restored, the experience left Hitler convinced he had a divine mission to 'make Germany great again.' He believed, from then on, that every step he took was dictated by a supernatural power.In 1931, Erik Jan Hanussen, a clairvoyant, astrologer, millionaire media tycoon and Nazi supporter, taught him how to hypnotise the masses. Hitler proved himself the greatest hypnotist of them all.This is the extraordinary true story of the lives and deaths of Forster and Hanussen. It details the techniques they used and describes the vital roles played of hypnotism, astrology, clairvoyance and the occult in the Nazis' rise to power.
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.
