The Stacks project

Definition 9.27.2. Consider a diagram of fields as in (9.27.1.1). We say that $K$ and $L$ are linearly disjoint over $k$ in $\Omega $ if the map

\[ K \otimes _ k L \longrightarrow KL,\quad \sum x_ i \otimes y_ i \longmapsto \sum x_ i y_ i \]

is injective.

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View Definition 9.27.2 as pdf