【环与模中的扭论方法张顺华】.pdf

【环与模中的扭论方法张顺华】.pdf

RingsantlModwes Retatrvetoa Tonsian Theory zhang shum hua(BerjimgNormaUnversity) Ab stract Znthis pazer,we generalrze fiatmetules rings,VepuarVings anel Vrinys.to HheSituatisn fahoraditarg torstion theory.Frnally,Hhe anther chamaternzeHo cuattyf Vringsrelativetothe quotientCategorgo.pntetveCover ofM.then thefollowniy Condrbons aveemvalend(1>MisTSemiperfect(2> pi TSemperfect(3> pi Comple meut Theorem 2(9.) is a herelitarytonsion theory,Gis the Correrpondiy Gabniel Topology,ther Gonohtionsare guvalont.Hhen the followiy Cen ohtinns are emvalent(2>The Set af Tfat meeluesCloree mcler<3>The Set ofT fat moduesConsistsafa(hereelitarg)tovitonthamv Class.o<><5>For everm in G,amel evevy element a @,+here ehsts a elemen aan Suththat a= ca.theneNerg left ieleu @f Rn Gisiclempotent.
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