When $δ$-semiperfect rings are semiperfect

Details When $δ$-semiperfect rings are semiperfect When $δ$-semiperfect rings are semiperfect

2008-09-30

arxiv.org/abs/0810.0041v1

Mathematics

Rings and Algebras

Scientific paper

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.

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