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PDF-2.1ModulesandModuleHomomorphismsThenotionofamodulearisesoutofattemptst PDF document

satisfyingthefollowingaxiomsi8a2A8xy2Maxyaxayii8ab2A8x2Mabxaxbxiii8ab2A8x2Mabxabxiv8x2M1xx248 Thenotionofamoduleiscloselyrelatedtoendomorphismringsofabeli

satisfyingthefollowingaxioms:(i)(8a2A)(8x;y2M)a(x+y)=ax+ay;(ii)(8a;b2A)(8x2M)(a+b)x=ax+bx;(iii)(8a;b2A)(8x2M)(ab)x=a(bx);(iv)(8x2M)1x=x.248 Thenotionofamoduleiscloselyrelatedtoendomorphismringsofabeli

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