Definition 11.2.1. Let $A$ be a $k$-algebra. We say $A$ is finite if $\dim _ k(A) < \infty $. In this case we write $[A : k] = \dim _ k(A)$.
Definition 11.2.1. Let $A$ be a $k$-algebra. We say $A$ is finite if $\dim _ k(A) < \infty $. In this case we write $[A : k] = \dim _ k(A)$.
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