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Aug 15, 2014 at 18:46 comment added Alex Zorn That seems to mean 'The free left R-module underlying R is a semisimple module'. Thanks!
Aug 15, 2014 at 18:12 comment added Pablo Zadunaisky You are right, they see $A_0$ as the quotient $A/A_{> 0}$. As for the condition of $A_0$ being semisimple, they mean "$A_0$ is a semisimple ring".
Aug 15, 2014 at 16:22 history asked Alex Zorn CC BY-SA 3.0