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A corollary of Koethe's theorem
A homework problem is divided into 2 parts:
I managed to solve the first part, which states:
Prove Koethe's theorem: If $D$ is a finite dimensional central division $k$-algebra and $K_0 \subset ...
4
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0answers
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Problem 24 of section 2 of *Noncommutative Algebra* by Farb & Dennis
Problem 24 of section 2 of Noncommutative Algebra by Farb & Dennis states:
Let $R$ be an artinian ring and let $G$ be a finite group. Show that $R[G]$ is semisimple if and only if $R$ is ...
