Graded distributive modules
type: Item
instance of: scholarly article
title: Graded distributive modules
zbMATH Open document ID: 1107.13004
author: Naser Zamani
author: Reza Naghipour
published in: Southeast Asian Bulletin of Mathematics
publication date: 2006-12-06T00:00:00Z
review text: The authors of this paper give a characerization of graded distributive modules over a commuttive noetherian ring by proving the following main Theorem. Suppose that \(R\) is noetherian and that \(M\) is finitely generated. Let \(N\) be a graded supporting proper submodule of \(M\). Then the following statements are equivalent: (i) \(N\) is a graded distributive submodule of \(M\). (ii) For each graded submodule \(L\) of \(M\) with \(N \subsetneq L\); \(N = IL\), where \(I\) is a unique product of powers of graded maximal ideals in Supp\((M)\).
reviewed by: Jebrel M. Habeb
Mathematics Subject Classification ID: 13A02
Mathematics Subject Classification ID: 13E05
zbMATH DE Number: 5077525
zbMATH Keywords: graded modules
zbMATH Keywords: distributive modules
zbMATH Keywords: graded supporting submodule
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5077525