2 citations · 2 across the 6 of their papers we have counts for
6 papers · 1 filter
Some homological properties of ideals with cohomological dimension one
G. Pirmohammadi, K. Ahmadi Amoli, K. Bahmanpour
Let R denote a commutative Noetherian ring and let I be an ideal of R such that H_i^I(R) = 0, for all integers i greater than or equal to 2. In this paper we shall prove some resul…
The finiteness dimension of modules and relative Cohen-Macaulayness
M. Mast Zohouri, Kh. Ahmadi Amoli
Let be a commutative Noetherian ring, and ideals of . In this paper, we study the finiteness dimension of relative to $\…
Relative Cohen-Macaulay filtered modules with a view toward relative Cohen-Macaulay modules
M. Mast Zohouri, Kh. Ahmadi Amoli, S. O. Faramarzi
Let R be a commutative Noetherian ring, a a proper ideal of R and M a finite R-module. It is shown that, if (R;m) is a complete local ring, then under certain conditions a contains…
On the Attached prime ideals of local cohomology modules defined by a pair of ideals
Kh. Ahmadi Amoli, Z. Habibi, M. Jahangiri
Let and be two ideals of a commutative Noetherian ring and be an -module of dimension . If is a complete local ring and is finite, then attached prime…
On the associated prime ideals of local cohomology modules defined by a pair of ideals
Kh. Ahmadi Amoli, Z. Habibi, M. Jahangiri
Let and be two ideals of a commutative Noetherian ring and be an -module. For a non-negative integer it is shown that, if the sets $\Ass_R(\Ext^{n} _{R}(R/I,…
On graded local cohomology modules defined by a pair of ideals
M. Jahangiri, Kh. Ahmadi Amoli, Z. Habibi
Let be a standard graded ring, be a finite graded -module and be a homogenous ideal of . In this paper we study the grade…