Some Radical Properties of s-Rings

Michael Rich
1971 Proceedings of the American Mathematical Society  
The class of s-rings includes as a proper subset the classes of associative, alternative, Lie, Jordan, and standard rings. It is shown that in any s-ring R the prime radical of R coincides with the Baer lower radical of R. Relationships between the prime radical and certain other radicals are also given.
doi:10.2307/2038215 fatcat:l3kjmtfqtrekrelsio3qkg5f4q