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Feb 13, 2012 at 2:08 comment added Florian Eisele Are you sure $k[\mathbb Z/n\mathbb Z]$ is self-dual? If $char(k)=p$ and $n=p$, then $k[t](t^p-1)$ is not semisimple as an algebra, but its dual (the coordinate ring $k\oplus \ldots\oplus k$) is.
Feb 13, 2012 at 1:47 history answered Rami CC BY-SA 3.0