Commutativity of rings with polynomial constraints

A Commutativity Study for Certain Rings

“…This result at the same time extends the theorem of Wedderburn that every finite division ring is commutative. A celebrated theorem of Herstein There are several results in the existing literature [1,2,3,4,9,10,11,12,13,14,15,18] concerning the commutativity of rings satisfying special cases of the above ring property. In Sections 2 and 3, we shall prove the commutativity of semi prime rings and rings with unity 1 satisfying the property (P ).…”