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Tag Archives: cotangent spaces
Commutative Algebra 34
Nakayama’s Lemma The following is a short statement which has farreaching applications. Since its main applications are for local rings, we will state the result in this context. Throughout this section, is a fixed local ring. Theorem (Nakayama’s Lemma). Let … Continue reading
Commutative Algebra 11
Coordinate Rings as kalgebras LetÂ k be an algebraically closed field. Recall that a closed subset is identified by its coordinate ring k[V], which is a finitely generatedÂ kalgebra since Definition. An affine kvariety is a finitely generated kalgebra A which is … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, algebras, cotangent spaces, maximal ideals, tangent spaces, varieties
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