A note on dimension of local cohomology modules

Document Type : Research Paper

Authors

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

2 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 local cohomology module.
Then we will obtain new relations beetwen the invariants such as, arithmeticrank, cohomological dimension, krull dimension and a height of

Keywords