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.