Rings whose modules are weakly supplemented are perfect
classification
🧮 math.RA
keywords
leftonlyperfectr-modulesupplementedweaklycountablyevery
read the original 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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