Tersion Property for Injective and Projective Modules

Abstract:

      For a ring R with 1 and a torsion theory τ defined on R-mod [1], we give some prop-erties on τ-injective modules ,τ-projective modules and some equivalent conditions, depicted QF-ring; we also discuss localization on τ-injective modules, and depice τ-torsion radicals and the radical supplementing it.