• Dr.Y.Madanamohana Reddy
• Prof G. Shobha Latha

Johnson, Outcalt and Yaqub [3] proved that if a non- associative ring R satisfy the identity x2 y2 = y2 x2 for all x,y in R, then R is commutative. The generalization of this result proved by R. D. Giri and others [1] stoctes that if R is a non-associative primitive ring satisfies the identities x2 y2- y2 x2 ∈ z(R), where z(R) denotes the center, then R is commutative. A modification of Johnson's identity viz, x2 y2- y2 x2 for all x,y in R, for a non - associative ring R which has no element of additive order 2, is commutative was proved by R. N. Gupta [2], R. D. Giri and others [1] generalized Gupta's result by taking x(xy)2 -(xy)2 x ∈ z(R). We have to proved that if R is a non-associative ring of char≠4 satisfies then R is commutative x(x2 + y)2- (x2 + y)2 x ∈ z(R)

Center,Commutativity,Primitive Ring.

"ON COMMUTATIVITY FOR NON ASSOCIATIVE PRIMITIVE RINGS WITH x(x2 +y2 ) – (x2 +y2 ) x ∈ z(R)", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 6, page no.1441-1443, June 2020, Available :http://www.jetir.org/papers/JETIR2006542.pdf

"ON COMMUTATIVITY FOR NON ASSOCIATIVE PRIMITIVE RINGS WITH x(x2 +y2 ) – (x2 +y2 ) x ∈ z(R)", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 6, page no. pp1441-1443, June 2020, Available at : http://www.jetir.org/papers/JETIR2006542.pdf