Cofinitely projective modules. II
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.
scientific article; zbMATH DE number 3952997
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