Introduction to Neutrosophic Hypernear-rings
Introduction to Neutrosophic Hypernear-rings

Author: M.A. Ibrahim

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

DOWNLOAD EBOOK

This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings.

Introduction to NeutroHyperGroups
Introduction to NeutroHyperGroups

Author: M. A. Ibrahim

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 18

ISBN-13:

DOWNLOAD EBOOK

NeutroSophication and AntiSophication are processes through which NeutroAlgebraic and AntiAlgebraic structures can be generated from any classical structures. Given any classical structure with m operations (laws and axioms) we can generate NeutroStructures and AntiStructures. In this paper, we introduce for the first time the concept of NeutroHyperGroups.

International Journal of Neutrosophic Science (IJNS) Volume 10, 2020
International Journal of Neutrosophic Science (IJNS) Volume 10, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 126

ISBN-13:

DOWNLOAD EBOOK

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. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

INTRODUCTION TO NEUTROSOPHIC HYPERGROUPS
INTRODUCTION TO NEUTROSOPHIC HYPERGROUPS

Author: Adesina Abdul Akeem Agboola

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

DOWNLOAD EBOOK

The objective of this paper is to introduce the concept of neutrosophic hypergroup and present some of its elementary properties.

Neutrosophic Sets and Systems, Vol. 38, 2020
Neutrosophic Sets and Systems, Vol. 38, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 662

ISBN-13:

DOWNLOAD EBOOK

โ€œNeutrosophic Sets and Systemsโ€ 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.

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras
Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

Author: Smarandache, Florentin

Publisher: IGI Global

Published: 2022-04-15

Total Pages: 333

ISBN-13: 1668434970

DOWNLOAD EBOOK

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities as well as their interactions with different ideational spectra. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings
On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

DOWNLOAD EBOOK

Idempotent elements in a ring ๐‘… are the elements with the condition ๐’‚๐Ÿ=๐’‚. This paper introduces the criterion of any element in a refined neutrosophic ring to be idempotent. Also, the concept of symmetric and supersymmetric elements in a neutrosophic ring ๐‘…(๐ผ), and a refined neutrosophic ring ๐‘…(๐ผ1,๐ผ2) are defined. Also, the invertibility of these elements is discussed.

n - Refined Neutrosophic Rings
n - Refined Neutrosophic Rings

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

DOWNLOAD EBOOK

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

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

DOWNLOAD EBOOK

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.

On Some Properties of Neutrosophic Quadruple Hv-Rings
On Some Properties of Neutrosophic Quadruple Hv-Rings

Author: Madeleine Al-Tahan

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 15

ISBN-13:

DOWNLOAD EBOOK

Hyperstructure theory, an 86 years old theory, has been of great interest for many algebraists where their researches were divided in to two categories: theory and applications. On the other hand, neutrosophic theory which is the study of neutralities, was introduced and developed by F. Smarandache in 1995 as an extension of dialectics. The purpose of this paper is to study some connections between the two theories: Neutrosophy and hyperstructures. In this regard, we define neutrosophic quadruple Hv-rings, neutrosophic quadruple Hv-subrings, and neutrosophic quadruple homomorphism and study their various properties.