Let $R$ be a semisimple (noncommutative) ring. Why is the cocenter $R/[R,R]$ of $R$ a free module over the center of $R$? (Here $[R,R]$ is the commutator of $R$.)
2026-02-23 05:42:37.1771825357
Cocenter is a free module over the center in a semisimple ring
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