Abstract
Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In this paper, we show that C is generically dualizing if and only if the tensor products of injective and C-injective R-modules are injective. This leads to a characterization of dualizing modules as well as generalizes a result of Enochs and Jenda.
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ACKNOWLEDGMENT
The authors wish to thank the anonymous referee for helpful suggestions.
Notes
Communicated by T. Albu.