Results on Commutativity for Alternative Rings With 2, 3-Torsion Free.

In this article, we establish and proof some theorem on commutativity of alternative ring with 2, 3 –torsion free satisfy the following properties (Identities): (P1) [x2y2+y2x2,x]=0 (p2) [x(xy)2+(xy)2x,x]=0 (p3) [x(x2y2),x]=0 (p4) [x(xy),x]=0 for every x,y in R.