Bass Numbers of the First Nonzero Local Cohomology Module

AJS Levins - arXiv preprint arXiv:2402.15667, 2024 - arxiv.org
Let $ R $ be a regular local ring containing a field, let $ I $ be an ideal with $ d=\text {ht}{I} $,
and assume $\text {ht}{p}= d $ for every minimal prime $ p $ of $ I $. We compute the Bass …

On the support of local and formal cohomology

M Asgharzadeh - arXiv preprint arXiv:1808.04652, 2018 - arxiv.org
arXiv:1808.04652v1 [math.AC] 14 Aug 2018 Page 1 arXiv:1808.04652v1 [math.AC] 14 Aug 2018
ON THE SUPPORT OF LOCAL AND FORMAL COHOMOLOGY MOHSEN ASGHARZADEH …

Injective Dimension of Holonomic D-modules and F-finite Modules

M Dorreh - math.ipm.ac.ir
Motivated by these results, I,[1, Theorem 4.1], proved that if (R, m) is a regular local ring
which contains a field of characteristic p> 0 and M is an¿-finite module. Then dimR M− 1≤ …

[引用][C] On the graded injective hull of in prime characteristic

A Patle, J Singh - Journal of Algebra and Its Applications, 2024 - World Scientific
Let R be a polynomial ring in n indeterminates with coefficients in a field K of characteristic
p> 0, and 𝒟 be the ring of differential operators over R. We consider 𝔭 as a nonmaximal …