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
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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.