Browsing by Author "Lomp, Christian"

Now showing items 1-2 of 2

Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions

Büyükaşık, Engin; Lomp, Christian (Mathematica Scandinavica, 2009)

In this note we show that a ring R is left perfect if and only if every left R-module is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left R-module has a weak supplement.
When δ-semiperfect rings are semiperfect

Büyükaşık, Engin; Lomp, Christian (TÜBİTAK, 2010-09)

Zhou defined δ -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 ...