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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

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Question on the extension theorem from Humphreys' book on linear algebraic groups

On page 2 of Humphreys' book "Linear algebraic groups" he presents the "extension theorem". I will copy it below: Extension theorem. Let $R/S$ be an integral extension, $K$ an algebraically closed fi …
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