Commutativity of one sided s-unital rings
Let R be an associative left (right) s-unital ring. It is shown that R is commutative if either (i) R satisfies the identity \([x^ ny-y^ mx^ k,x]=0\), \(m\geq 2\), or (ii) R satisfies the identity \(x^ n[x,y]=[x,y]x^ k\), where \(0<k<n\), and R is n!-torsion free or \(k=0\), \(n>0\).
scientific article; zbMATH DE number 4200422
scientific article