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PDF-ANOTEONMODULESWITHWAISTSBYEDWARDL.GREENIn[2],aclassofindecomposablemod PDF document

386EDWARDLGREENNextitfollowsthatrXrntXisnonsimpleforsomen1IfnoteachrJXrjtXissimpleandhencesocXrmXrm1XwherellXrn1acontradictionLetnbethesmallestintegergreaterthansuchthatrXrisnons

386EDWARDL.GREENNext itfollowsthatr"X/rn+tXisnonsimpleforsomen1.Ifnot eachrJX/rj+tXissimpleandhencesoc(X)rmX/rm+1X wherell(X)rn+1 acontradiction.Letnbethesmallestintegergreaterthansuchthatr"X/risnons

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