Author: A. Haghany
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  • Isfahan University of Technology Department of Mathematics Isfahan Iran
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We generalize the well-known fact that for a pair of Morita equivalent ringsR andS their maximal rings of quotients are again Morita equivalent: If τn (M) denotes the torsion theory cogenerated by the direct sum of the firstn+1 injective modules forming part of the minimal injective resolution ofM then ατn (R)=τn (S) where α is the category equivalenceR-Mod→S-Mod. Consequently the localized ringsRτn(R) andSτn(S) are Morita equivalent.