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

Engin Büyükasik; Christian Lomp

doi:10.7146/math.scand.a-15104

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

Authors

Engin Büyükasik
Christian Lomp

DOI:

https://doi.org/10.7146/math.scand.a-15104

Abstract

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.

Downloads

Published

2009-09-01

How to Cite

Büyükasik, E., & Lomp, C. (2009). Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions. MATHEMATICA SCANDINAVICA, 105(1), 25–30. https://doi.org/10.7146/math.scand.a-15104