Cofinitely projective modules. II
type: Item
instance of: scholarly article
title: Cofinitely projective modules. II
zbMATH Open document ID: 0593.16018
DOI: 10.1007/BF01196354
published in: Archiv der Mathematik
publication date: 1987-01-01T00:00:00Z
review text: The author in an earlier paper [in J. Aust. Math. Soc., Ser. A 26, 330- 336 (1978; Zbl 0393.16018)], has studied finitely projective modules over a Dedekind domain and in Part I [Houston J. Math. 11, 183-190 (1985; Zbl 0576.16024)], he has studied cofinitely projective modules over a Dedekind domain. In this paper we study cofinitely projective modules over other special types of rings. Cofinitely projective right R-modules are always torsionless. Over a right artinian ring R, cofinitely projective right R- modules are projective. Every (finitely generated) cofinitely projective right R-module of finite Goldie dimension is projective when R is a right (semi-)hereditary ring. Also cofinite projectivity is a (finite) hereditary property for a right (semi-)hereditary ring R.
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16P20
zbMATH DE Number: 3952997
zbMATH Keywords: cofinitely projective modules
zbMATH Keywords: Dedekind domain
zbMATH Keywords: right artinian ring
zbMATH Keywords: Goldie dimension
zbMATH Keywords: hereditary ring
author: Veereshwar A. Hiremath
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3952997