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Results tagged with ac.commutative-algebra
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user 111161
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
4
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0
answers
222
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What is Grothendieck and Hartshorne's local duality?
I am looking for a simple and brief answer to the following question:
What is Grothendieck and Hartshorne's local duality and what is its relationship with dualizing modules?
How do (semi-)dualizing m …
- 191
2
votes
0
answers
149
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A question about projectivity of $M\otimes F$ where $F$ is faithfully flat
Let $(R,\mathfrak{m})$ be a commutative noetherian local ring. Let $\Lambda$ be an $R$-algebra which is finitely generated as an $R$-module. Let $M$ be a finitely generated $\Lambda$-module. If $\wide …
- 191
1
vote
0
answers
127
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Is there a (nontrivial) known example of an algebra over a complete regular local ring with ...
I am working on some algebras over complete regular local algebras. But I am not sure whether such rings are worth to study. I am looking for some examples of these algebras. Let $(R,\mathfrak{m})$ be …
- 191
8
votes
1
answer
190
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For isolated singularity algebra, is every maximal Cohen-Macaulay module locally projective?
Let $R$ be a Cohen-Macaulay noetherian local ring. Let $\Lambda$ be a noetherian $R$-algebra which is maximal Cohen-Macaulay as an $R$-module, where for every nonmaximal prime $\mathfrak{p}$, $\Lambda …
- 191