ON THE COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES

Document Type : Original Manuscript

Authors

1 university of Mohaghegh Ardabili

2 University of Mohaghegh Ardabili

10.22044/jas.2023.12166.1635

Abstract

Let I be an ideal of a commutative Noetherian ring R. It is shown that
the R-modules Hi
I (M) are I-cominimax, for all finitely generated R-modules M and all
i ∈ N0, if the R-modules Hi
I (R) are I-cofinite with dimension not exceeding 1, for all
integers i ≥ 2. This is an analogue result of Bahmanpour in [11].

Keywords