Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
- Autores: Engin Büyükasik, Lomp Christian
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 105, Nº 1, 2009, págs. 25-30
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15104
- Enlaces
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Resumen
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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