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Results tagged with ac.commutative-algebra
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user 31771
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
0
answers
436
views
The minimal injective $R$-resolution of a $D$-module
The most general version of the question I want to ask is:
Let $R$ be a regular (commutative, Noetherian) ring containing a field $k$ of characteristic $0$, let $D = D(R,k)$ be the ring of $k$-lin …
- 409
2
votes
1
answer
181
views
Does local cohomology commute with taking the degree-zero component?
Let $S = \oplus_{d \geq 0} S_d$ be a graded (Noetherian) ring, let $I \subset S$ be a homogeneous ideal, and let $f \in S$ be a homogeneous element. Denote by $S_{(f)}$ the subring of degree-$0$ elem …
- 409
1
vote
Maximal length of filter regular sequence
There is no maximal length.
See "Some results on associated primes of local cohomology modules", J. Asadollahi and P. Schenzel, Japan J. Math. 29 (2003), 285--296.
Proposition 2.2 in this paper es …
- 409