Author : A. A. A. Agboola
Publisher : Infinite Study
Page : 14 pages
File Size : 18,74 MB
Release :
Category : Mathematics
ISBN :
The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Speci cally, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
Author : A. A. A. Agboola
Publisher : Infinite Study
Page : 14 pages
File Size : 33,46 MB
Release :
Category :
ISBN :
The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specifically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
Author : Madeleine Al-Tahan
Publisher : Infinite Study
Page : 15 pages
File Size : 25,28 MB
Release : 2020-10-01
Category : Mathematics
ISBN :
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.
Author : A.A.A. Agboola
Publisher : Infinite Study
Page : 14 pages
File Size : 12,91 MB
Release : 2017-01-01
Category : Mathematics
ISBN :
The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specifically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
Author : M. Mohseni Takallo
Publisher : Infinite Study
Page : 11 pages
File Size : 32,91 MB
Release :
Category : Mathematics
ISBN :
Commutative neutrosophic quadruple ideals and BCK-algebras are discussed, and related properties are investigated. Conditions for the neutrosophic quadruple BCK-algebra to be commutative are considered. Given subsets A and B of a neutrosophic quadruple BCK-algebra, conditions for the set NQ(A;B) to be a commutative ideal of a neutrosophic quadruple BCK-algebra are provided.
Author : Young Bae Jun
Publisher : Infinite Study
Page : 16 pages
File Size : 35,51 MB
Release :
Category :
ISBN :
The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed.
Author : Vasantha Kandasamy
Publisher : Infinite Study
Page : 14 pages
File Size : 21,90 MB
Release :
Category : Mathematics
ISBN :
In this paper we for the rst time develop, de ne and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T; I; F) where T is the truth value, I is the indeterminate and F is the false value.
Author : G. Muhiuddin
Publisher : Infinite Study
Page : 13 pages
File Size : 45,33 MB
Release :
Category : Mathematics
ISBN :
In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties.
Author : GHOLAM REZA REZAEI
Publisher : Infinite Study
Page : 15 pages
File Size : 16,36 MB
Release :
Category : Mathematics
ISBN :
The notion of a neutrosophic quadruple BCI-commutative ideal in a neutrosophic quadruple BCI-algebra is introduced, and several properties are investigated. Relations between a neutrosophic quadruple ideal and a neutrosophic quadruple BCI-commutative ideal are discussed, and conditions for the neutrosophic quadruple ideal to be a neutrosophic quadruple BCI-commutative ideal are given. Conditions for the neutrosophic quadruple set to be a neutrosophic quadruple BCI-commutative ideal are provided, and the extension property of a neutrosophic quadruple BCI-commutative ideal is considered.
Author : Vasantha Kandasamy W.B.
Publisher : Infinite Study
Page : 8 pages
File Size : 32,45 MB
Release :
Category : Mathematics
ISBN :
In this paper authors for the first time introduce the concept of Neutrosophic Quadruple (NQ) vector spaces and Neutrosophic Quadruple linear algebras and study their properties. Most of the properties of vector spaces are true in case of Neutrosophic Quadruple vector spaces. Two vital observations are, all quadruple vector spaces are of dimension four, be it defined over the field of reals R or the field of complex numbers C or the finite field of characteristic p, Zp; p a prime. Secondly all of them are distinct and none of them satisfy the classical property of finite dimensional vector spaces. So this problem is proposed as a conjecture in the final section.
