Abstract (EN):
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.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
enginbuyukasik@iyte.edu.tr; clomp@fc.up.pt