• D.RADHA
• M.VINUTHA
• C.DHIVYA

The notion of a Reverse Derivation as an additive mapping from a ring R into itself satisfying d(xy)=d(y)x+yd(x) for all x,y in R was introduced by Bresar and Vukman. Samman and Alyamani studied the Reverse Derivations on Semi Prime Rings. In this paper we have introduced a Prime Semi Near-ring which admits non-zero Reverse σ-derivation satisfying certain conditions to be a Commutative ring. It is proved that a Prime Semi Near ring S together with d, a non-zero Reverse σ-derivation of S is commutative when d([x,y])=[x,d(y)] for all x,y in S and proved that for a Prime Semi Near ring S with d a non-zero Reverse σ-derivation of S is commutative when [x,d(x)]=0 for all x in S. Also it is proved that S is commutative if [d(y)d(x)]=0 for all x,y in S. We have also showed that S is commutative if [x,d(y)] belongs to central elements where S is a Prime Semi Near ring and d is a non-zero Reverse σ-derivation of S, it is also proved that if [d(x),y]=0 then we have d(y)=0 or y belongs to central elements, where S is a Prime Semi Near ring and d is a non-zero Reverse σ-derivation of S.

Reverse derivation, Reverse σ-derivation, Commutative in semi near-rings, central elements, Prime near-ring.

"ON PRIME SEMI NEAR RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.488-493, June 2019, Available :http://www.jetir.org/papers/JETIR1907P76.pdf

"ON PRIME SEMI NEAR RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp488-493, June 2019, Available at : http://www.jetir.org/papers/JETIR1907P76.pdf