International Journal of Engineering Research in Electronics and Communication Engineering

On Zero-Symmetric Semicentral Î“-Near Rings

Author : C. Raja Lakshmi ¹ Radha ²

Date of Publication :20th April 2018

Abstract: In this paper, we define zero-symmetric part in semicentral Î“-near rings. The definitions of left semicentral, right semicentral gamma near rings are defined along with the equivalence conditions for an idempotent e in the Î“-near ring to be both left semicentral and right semicentral. Any reduced gamma near ring with unity is both left and right semicentral Î“-near ring if it is zero-symmetric. Any left(right) regular unital Î“-near ring is right(left) semicentral if it is zero-symmetric

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