A characterization of duo-rings in which every Dedekind finite module is finitely generated

Sidy Demba Toure, Khady Diop, Sidy Mohamed Ould Mohamed, Mamadou Sanghare
2014 International Mathematical Forum  
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