Last Updated:2025/12/04

Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.

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Every finite-dimensional central simple algebra over a field K becomes isomorphic to a matrix algebra after extending scalars to an algebraic closure of K.

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基底体K上の有限次元の中心単純代数は、係数体をKの代数的閉包に拡大すると行列環に同型になります。

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