Cofinitely projective modules II
Copyright policy )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.
- University of Mysore India
Artinian rings and modules (associative rings and algebras), cofinitely projective modules, Goldie dimension, Homological dimension in associative algebras, right artinian ring, Free, projective, and flat modules and ideals in associative algebras, Dedekind domain, hereditary ring
Artinian rings and modules (associative rings and algebras), cofinitely projective modules, Goldie dimension, Homological dimension in associative algebras, right artinian ring, Free, projective, and flat modules and ideals in associative algebras, Dedekind domain, hereditary ring
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