# nLab Demazure, lectures on p-divisible groups, I.5, finiteness conditions

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Let $k$ be a field.

An affine $k$-scheme $X$ is called finite if $O(X)$ is a finite dimensional vector space.

Revised on May 27, 2012 13:08:54 by Stephan Alexander Spahn (79.227.168.80)