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Let R be an associative ring with 1 = 0 and M an unitary Rmodule. M is said to be Dedekind finite if M is not isomorphic to any proper direct summand of itself. The ring R is called F GDF ring if every Dedekind finite module is finitely generated. In this note we will prove that artinian principal ideal duo-rings characterize F GDF -duorings.doi:10.12988/imf.2014.4352 fatcat:uysihakxkfcgxniip4yipfxmba