Local Cohomology and Sequentially Generalized Cohen-Macaulay Modules
Amir Mafi* Author for corresponding; e-mail address: a_mafi@ipm.ir
Volume: Vol.41 No.5/2 (OCTOBER 2014)
Research Article
DOI:
Received: 30 November 2011, Revised: -, Accepted: 19 August 2013, Published: -
Citation: Mafi A., Local Cohomology and Sequentially Generalized Cohen-Macaulay Modules, Chiang Mai Journal of Science, 2014; 41(5/2): 1444-1448.
Abstract
Let (R, m) be a commutative Notherian local ring and M a finitely generated R-module with dim M = d. It is shown that M is a sequentially generalized Cohen-Macaulay module if and only if the local cohomology modules Hmj(M) are either of finite length or generalized co-Cohen-Macaulay of Noetherian dimension j for all 0 < j < d-1.