On Right Alternative Algebras
Alexa A. Albert · Annals of Mathematics · 1949
hold for every x and y of A. It is readily seen that any two of these relations imply the remaining one, and it is thus natural to study algebras for which only one of the relations is assumed to hold. Algebras for which (xy)x = x(yx) have been called flexible algebras and this class of algebras includes all commutative algebras. Some properties of such algebras have already been investigated.' In the present paper we shall investigate right alternative algebras, that is, algebras for which we assume the identity