Étale algebra: Difference between revisions

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In mathematics, more specifically in algebra, an étale or seperable algebra is a special type of algebra.

Definition

Let $K$ be a field and ${\mathfrak {R}}$ be a $K$ -algebra. Then ${\mathfrak {R}}$ is called étale or seperable if ${\mathfrak {R}}\otimes _{K}{\bar {K}}\cong {\bar {K}}\times ...\times {\bar {K}}$ .

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 In [[mathematics]], more specifically in [[algebra]], an '''étale''' or '''seperable''' [[algebra_(ring theory)|algebra]] is a special type of algebra.
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 [[Étale]]
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Revision as of 12:42, 8 September 2009

Definition

See also