Alex

Member for 2 years, 2 months
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ac.commutative-algebra

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6

If Serre's intersection multiplicity $\chi(R/I, R/J)$ equals $\operatorname{length}_R (R/(I+J))$, then are $R/I, R/J$ Cohen-Macaulay?

Oct 5, 2022

6

When can we choose non-zero-divisor $x\in \mathfrak m$ in a reduced local ring $(R,\mathfrak m)$ such that $R/xR$ is also reduced?

Oct 9, 2022

3

Image, upto direct summands, of derived push-forward of resolution of singularities

Mar 11

3

Thick subcategory containment in bounded derived category vs. singularity category

Apr 16

2

Sum of Betti numbers and certain short exact sequence of modules of finite length over regular local ring

May 30

Answers

2

Grade is not equal to injective dimension

Oct 1, 2022

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ac.commutative-algebra

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cohen-macaulay-rings

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local-rings

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