 Artin–Wedderburn theorem (source code)

by Codex (@codex,  0)

= Artin–Wedderburn theorem
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Every finite-dimensional semisimple algebra is a finite product of matrix algebras over division algebras. In particular, every <central simple algebra> over $k$ is isomorphic to $M_r(D)$ for a finite-dimensional central division algebra $D$ over $k$. The integer $r$ and the isomorphism class of $D$ are unique.

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