When \delta-semiperfect rings are semiperfect

Authors

ENGİN BÜYÜKAŞIK
CHRISTIAN LOMP

Abstract

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.

DOI

10.3906/mat-0810-15

Keywords

Semiperfect, \delta-semiperfect, \delta-supplemented.

First Page

317

Last Page

324

Recommended Citation

BÜYÜKAŞIK, ENGİN and LOMP, CHRISTIAN (2010) "When \delta-semiperfect rings are semiperfect," Turkish Journal of Mathematics: Vol. 34: No. 3, Article 2. https://doi.org/10.3906/mat-0810-15
Available at: https://journals.tubitak.gov.tr/math/vol34/iss3/2