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Results tagged with ac.commutative-algebra
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user 90006
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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A version of Peskine and Szpiro's theorem in vanishing of local cohomology
C. Peskine and L. Szpiro in "Dimension projective finie et cohomologie locale",(Proposition 4.1) proved the following vanishing theorem for local cohomology:
Let$R$ be a regular local ring of charact …
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Modification of nonfree locus
Let $ R $ be a commutative noetherian ring with identity. Let $ M $ be an $ R $-module. By definition the nonfree locus $ NF(M) $ of $ M $ is defined as the set of prime ideals $ {\mathfrak p} $ of $ …
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