When $\delta$-semiperfect rings are semiperfect

Understand

Zhou defined $\delta$-semiperfect rings as a proper generalization of semiperfect rings.

• The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are $\delta$-supplemented.
• Module theoretic version of our results are obtained.