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.

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Published

2009-09-01

Issue

Vol. 105 No. 1 (2009)

Section

Articles

How to Cite

[1]
E. Büyükasik and C. Lomp, “Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions”, Math. Scand., vol. 105, no. 1, pp. 25–30, Sep. 2009, doi: 10.7146/math.scand.a-15104.