a1 University of Tasmania Hobart, Australia
The Brown-McCoy radical is the upper radical defined by the class of simple rings with identities. For associative or alternative rings the Brown-McCoy radical is hereditary, and its semi-simple class consists of all subdirect products of simple rings with identities. In this paper we present some classes of simple non-associative algebras whose upper radicals behave similarly. Classifications are then obtained of ‘most’ semi-simple radical classes of (γ, δ) and right alternative rings.
(Received November 16 1978)
(Revised April 04 1979)
1980 Mathematics subject classification (Amer. Math. Soc)