On projective free properties of rings
type: Item
instance of: scholarly article
title: On projective free properties of rings
zbMATH Open document ID: 0892.13002
author: Huanyin Chen
author: Tong Wenting
published in: Science in China. Series A
publication date: 1998-07-27T00:00:00Z
review text: The authors study the following properties of commutative rings: \(R\) is a finite direct product (sum) of rings over which every projective module is free (resp. free upto a projective direct summand of rank 1). -- Mostly they ask to what extent these properties are preserved under performing group rings (of abelian groups). I doubt whether there is something new in the paper. (I do not see why in the proofs of corollary 2.3 and proposition 2.3 the order of a finite group should be a unit in some ring, resp. a field).
reviewed by: Friedrich Ischebeck
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 908298
zbMATH Keywords: freeness of projective module
zbMATH Keywords: Quillen-Suslin theorem
zbMATH Keywords: group rings
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 908298