Local Cohomology Modules and Relative Cohen-Macaulayness

Local Cohomology Modules and Relative Cohen-Macaulayness

Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non-Artinianness of local cohomology modules and Lyubez...

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Bibliographic Details
Main Author: Zohouri M. Mast
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
local cohomology modules
lyubeznik numbers
non-artinian modules
relative cohen-macaulayness
primary 13d45
secondary 13c14, 13e10
Online Access:https://doi.org/10.7151/dmgaa.1291
Description
Summary:Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non-Artinianness of local cohomology modules and Lyubeznik numbers. We also present some related examples to this issue.
ISSN:2084-0373

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