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Original Articles

Tensor and Torsion Products of Relative Injective Modules with Respect to a Semidualizing Module

, &
Pages 2632-2642 | Received 22 Jul 2013, Published online: 17 Apr 2015
 

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.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors wish to thank the anonymous referee for helpful suggestions.

Notes

Communicated by T. Albu.

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