Lemma 10.53.2. Suppose $R$ is a finite dimensional algebra over a field. Then $R$ is Artinian.
Proof. The descending chain condition for ideals obviously holds. $\square$
Lemma 10.53.2. Suppose $R$ is a finite dimensional algebra over a field. Then $R$ is Artinian.
Proof. The descending chain condition for ideals obviously holds. $\square$
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