Third power associative, antiflexible rings satisfying (a,b,ac)=a(a,b,c)

摘要

In this paper, we study third power associative, antiflexible rings satisfying the identity (a,b,ac)=a(a,b,c). We prove that third power associative, antiflexible rings satisfying the identity (a,b,ac)=a(a,b,c) with characteristic 2,3 are associative of degree 5. As a consequence of this result, we prove that a third power associative semiprime antiflexible ring satisfying the identity (a,b,ac)=a(a,b,c) is associative.