Gr-coherency of polynomial rings and \(G\)-graded rings
type: Item
instance of: scholarly article
title: Gr-coherency of polynomial rings and \(G\)-graded rings
zbMATH Open document ID: 0945.16035
author: Xianxian Li
author: Fuchang Cheng
published in: Southeast Asian Bulletin of Mathematics
publication date: 2000-04-09T00:00:00Z
review text: Let \(R\) be a ring with identity. The authors prove that the polynomial ring \(R[T]\) is gr-coherent when regarded as a \(\mathbb{Z}\)-graded ring if and only if \(R\) is coherent. Also it is proved that a ring \(R\) graded by a finite group is gr-coherent if and only if \(R\) is coherent.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16P70
zbMATH DE Number: 1406299
zbMATH Keywords: graded rings
zbMATH Keywords: polynomial rings
zbMATH Keywords: graded coherent rings
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1406299