Given two rings A and R, we study the equivalences between all projective right A-modules and all injective right R-modules. We prove that such equivalences exist if and only if A and R are Artinian with a Morita duality. This naturally generalizes a well-known result on quasi-Frobenius rings.
Equivalences between projective and injective modules and Morita duality for Artinian rings
COLPI, RICCARDO
1993
Abstract
Given two rings A and R, we study the equivalences between all projective right A-modules and all injective right R-modules. We prove that such equivalences exist if and only if A and R are Artinian with a Morita duality. This naturally generalizes a well-known result on quasi-Frobenius rings.
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