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| Paper IPM / M / 111 |
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| Abstract: | |
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We generalize the well-known fact that for a pair of Morita equivalent rings R and S their maximal rings of quotients are again Morita equivalent: If τn (M) denotes the torsion theory cogenerated by the direct sum of the first n+1 injective modules forming part of the minimal injective resolution of M then ατn(R)=τn (S) where α is the category equivalence R-Mod→ S-Mod. Consequently the localized rings Rτn (R) and Sτn (S) are Morita equivalent.
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