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Author: Vasantha Kandasamy W. B.
Publisher: Infinite Study
Published:
Total Pages: 9
ISBN-13:
DOWNLOAD EBOOKIt is proved that these rings can contain only three types of neutrosophic triplets, these collections are distinct, and these collections form a torsion free abelian group as triplets under component wise product. However, these collections are not even closed under component wise addition.
Author: Mumtaz Ali
Publisher: Infinite Study
Published:
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOKRings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field.
Author: Vasantha Kandasamy
Publisher: Infinite Study
Published: 2020-12-01
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKIn this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.
Author: Mumtaz Ali
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOKRings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field. We introduce a neutrosophic triplet ring and study some of its basic properties. Further, we define the zero divisor, neutrosophic triplet subring, neutrosophic triplet ideal, nilpotent integral neutrosophic triplet domain, and neutrosophic triplet ring homomorphism. Finally, we introduce a neutrosophic triplet field.
Author: Yingcang Ma
Publisher: Infinite Study
Published: 2019-10-08
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKThis paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 21
ISBN-13:
DOWNLOAD EBOOKIn this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.
Author: Yingcang Ma
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKNeutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.
Author: S. Suryoto
Publisher: Infinite Study
Published:
Total Pages: 7
ISBN-13:
DOWNLOAD EBOOKThe notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 450
ISBN-13: 3038974765
DOWNLOAD EBOOKNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author: Yingcang Ma
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKNeutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.
