A NOTE ON SPECIAL RADICALS AND PARTITIONS OF SIMPLE RINGS

ABSTRACT

For any partition of simple prime rings the lower special radical L determined by is properly contained in the upper radical U of all subdirectly irreducible rings with heart in . Under certain constraints on the class it can be achieved that a polynomial ring is in U but not in L.

Acknowledgments

The authors gratefully acknowledge the support of the Hungarian National Foundation for Scientific Research Grant T23434.