Some studies on strongly regular rings

This paper characterizes strongly regular rings via ZC-ring and self-injective rings.The following results are proven.1 Let R is ZC-ring,then the following conditions are equivalent:(1)R is a strongly regular ring;(2)Every maximal essential left ideal of R is GP-injective;(3)R contains a left R-module K,such that while k∈K and l(k)is essential,l(k)is GP-injective.2 Let R be a ELT-ring,and for every essential left ideal M of R,[R/M]R be flat and every complement left ideal of R be GW-ideal,if R is a left MI-ring,then R is a left self-injective strongly regular ring.