Abstract

A module M over a commutative ring is termed an SCDF-module if every Dedekind finite object in σ[M] is finitely cogenerated. Utilizing this concept, we explore several properties and characterize various types of SCDF-modules. These include local SCDF-modules, finitely generated $SCDF$-modules, and hollow SCDF-modules with Rad(M)=0≠M. Additionally, we examine QF SCDF-odules in the context of duo-ring.

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