HOMOMORPHISM AND ANTI-HOMOMORPHISM OF SPHERICAL CUBIC BI-IDEALS OF GAMMA NEAR-RINGS

Abstract

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.