Rings whose modules are weakly supplemented are perfect

Details Rings whose modules are weakly supplemented are perfect Rings whose modules are weakly supplemented are perfect

2007-11-06

arxiv.org/abs/0711.0947v1

Mathematica Scandinavia 105 (2009), 25-30

Mathematics

Rings and Algebras

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Rings whose modules are weakly supplemented are perfect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rings whose modules are weakly supplemented are perfect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rings whose modules are weakly supplemented are perfect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134974