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May 7, 2017 at 14:01 comment added karparvar @Xam I am zooming in the triangular matrix rings $[R, M, 0, S]$. Also, I have in mind the well-known fact that idempotents of the quotient $R/Soc(R_R)$ lift modulo $Soc(R_R)$.
May 6, 2017 at 21:22 comment added Xam May I ask what's the motivation for your searching?
May 6, 2017 at 16:20 history edited YCor
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May 6, 2017 at 14:46 history asked karparvar CC BY-SA 3.0