FCP投射模与某些环(FCP-projective modules and some rings)

Abstract

Let R be a ring. A module MR is called FCP-projective if for every finitely corelated right R-module A. A ring R is called right co-coherent if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is finitely corelated. A ring R is called right co-semihereditary if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is injective. Some characterizations of FCP-projective modules are given; right V-rings and right co-semi hereditary rings are characteristics by FCP-projective right R modules. Some conditions under which right V-rings are artinian semi simple rings are given. FCP-projective dimensions of modules over right co-coherent rings are investigated. Rings over which every FCP-projective module is projective are studied.

Keywords

• fcp-projective module
• v-ring
• co-semihereditarg ring
• co-coherent ring
• fcpp-ring