• PRIME ASSOSYMMETRIC RINGS

Abstract

We present the properties of the commutator and the associator of an assosymmetric ring. By using these properties, we prove that a non associative prime assosymmetric ring of characteristic ¹ 2, 3 is a weakly standard ring.  At the end of this paper, we present some examples of assosymmetric rings, which are neither flexible nor power associative. These examples also show that an assosymmetric ring is not a weakly standard ring.