On Set Theoretically and Cohomologically Complete Intersection Ideals

Author:

Eghbali Majid

Abstract

AbstractLet (R;m) be a local ring and a be an ideal of R. The inequalitiesare known. It is an interesting and long-standing problem to determine the cases giving equality. Thanks to the formal grade we give conditions in which the above inequalities become equalities.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Vanishing of local cohomology and set-theoretically Cohen–Macaulay ideals;Rendiconti del Circolo Matematico di Palermo Series 2;2022-10-18

2. On top local cohomology modules, Matlis duality and tensor products;Journal of Algebra and Its Applications;2019-07-17

3. A note on the use of Frobenius map and D-modules in local cohomology;Communications in Algebra;2017-08-30

4. On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers;Communications in Algebra;2017-04-17

5. On cohomological dimension and depth under linkage;Communications in Algebra;2016-10-07

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