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PDF-2Remark:Weonlyde nedthenotionofcontentinuniquefactorizationdomains.How PDF document

fxisaringhomomorphismapplyingittobothsidesofweget pxgxhxNotethatdeg pxdegpxbyassumptioniHenceandimplythatdeggxdeggx0anddeghxdeghx0SinceRIisadom

f(x)isaringhomomorphism applyingittobothsidesof(***) weget p(x)=g(x)h(x)(!!!)Notethatdeg p(x)=degp(x)byassumption(i).Hence(***)and(!!!)implythatdegg(x)=degg(x)0anddegh(x)=degh(x)0.SinceR=Iisadom

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