T-fuzzy bi-ideal of Gamma near-ring

Chinnadurai, V.; Shakila, V.

doi:10.1063/5.0025317

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2022

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“…Chinnadurai et al [4] discussed interval-valued fuzzy ideals of gamma near-rings. Chinnadurai et al [5,6,7,8] discussed Tfuzzy, spherical fuzzy, spherical interval-valued fuzzy and spherical cubic bi-ideals of gamma near-rings. In this research work, we discuss the homomorphism and anti-homomorphism of spherical cubic bi-ideals of Gamma near-rings R 1 and R 2 , establish some of its properties.…”

Section: Introductionmentioning

confidence: 99%

Homomorphism and Anti-Homomorphism of Spherical Cubic Bi-Ideals of Gamma Near-Rings

Chinnadurai¹,

Shakila²

2022

SEAJMMS

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The purpose of the article is to study about homomorphism and anti- homomorphism of spherical cubic bi-ideals of Gamma near-rings R1 and R2. If φ : R1 −→ R2 be a gamma homomorphism and (C U s1 , R1), (C U s2 , R2) are spher- ical cubic bi-ideals of gamma near-rings R1 and R2.Then the image (φ(C U s1 ), R2) and pre-image (φ−1(C U s ), R1) are also spherical cubic bi-ideals of gamma near- rings R2 and R1. If φ : R1 −→ R2 be an epimorphism of gamma near-rings R1 and R2 and (C U s , R2) is a SCS of R2 such that (φ−1(C U s ), R1) is a SCBI of 2 2 R1, then (C U s2 , R2) is a SCBI of R2.

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Section: Introductionmentioning

confidence: 99%