A note on dimension of local cohomology modules

Document Type : Research Paper

Authors

1 University of Mohaghegh Ardabili

2 Deprtment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili

3 Payame noor University

4 Islamic Azad University

Abstract

‎Let $(R‎, m)$ be a commutative Noetherian local ring and $I$ be an ideal of $R$‎. ‎In this paper‎ ‎first we find new results about the dimension of the local cohomology module $H^i_I(R)‎$‎‎. ‎Then we will obtain new relations between the invariants such as‎ ‎arithmetic rank‎, ‎cohomological dimension‎, ‎krull dimension, and the height of an ideal of $R$‎.

Keywords

References

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Journal of Algebra and Related Topics
Volume 13, Issue 2
December 2025
Pages 39-42

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