Abstract

This article follows part I [Houston J. Math. 11 (1985), no. 2, 183–190; MR0792194 (87a:16044)] in which the author studied projective modules for the exact sequences 0→A→B→C→0, where C is a co-finitely generated module in the sense of Vamos ("cfp-modules'') over a Dedekind ring. Here he recalls their elementary properties and uses cfp-modules to characterize semisimple Artinian rings. When the base ring is Artinian, the cfp-modules are projective. The author proves several properties of cfp-modules over hereditary rings. Then the cfp-modules are flat and the cfp-property passes to the submodules. When the cfp-modules are of finite Goldie dimension, they are projective.

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