2012
DOI: 10.4134/jkms.2012.49.5.1083
|View full text |Cite
|
Sign up to set email alerts
|

On THE Κ-Regular SEQUENCES AND THE GENERALIZATION OF F-Modules

Abstract: Abstract. For a given ideal I of a Noetherian ring R and an arbitrary integer k ≥ −1, we apply the concept of k-regular sequences and the notion of k-depth to give some results on modules called k-Cohen Macaulay modules, which in local case, is exactly the k-modules (as a generalization of f-modules). Meanwhile, we give an expression of local cohomology with respect to any k-regular sequence in I, in a particular case. We prove that the dimension of homology modules of the Koszul complex with respect to any k-… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2023
2023
2023
2023

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
references
References 9 publications
0
0
0
Order By: Relevance