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Paper   IPM / M / 111
School of Mathematics
  Title:   On the torsion theories of Morita equivalent rings
  Author(s):  A. Haghany
  Status:   Published
  Journal: Period. Math. Hungar.
  No.:  3
  Vol.:  32
  Year:  1996
  Pages:   193-197
  Supported by:  IPM
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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