Lie simplicity of a special class of associative rings. II

Abstract

Let A be a simple associative ring with an involution defined on it; that is, a mapping of A onto A, defined by a->a*, with the following properties: (i) (a*)* = a; (ii) (a+b)* = a*+b*; (iii) (ab)* = b*a*. Recently I. N. Herstein [4] has investigated 5= {xzA \ x*=x} and K= {k(E:A\k* = -k}, the sets of symmetric and skew symmetric elements respectively.