On the torsion theories of Morita equivalent rings |
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Authors: | A Haghany |
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Institution: | (1) Department of Mathematics, Isfahan University of Technology, Isfahan, Iran |
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Abstract: | 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
n
(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
n
(R)=
n
(S) where is the category equivalenceR-ModS-Mod. Consequently the localized ringsR
n
(R) andS
n
(S) are Morita equivalent. |
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Keywords: | Primary 16D90 16S90 |
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