Tensor and Torsion Products of Relative Injective Modules with Respect to a Semidualizing Module |
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| Authors: | Maryam Salimi Elham Tavasoli Siamak Yassemi |
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| Institution: | 1. Department of Mathematics, East Tehran Branch , Islamic Azad University , Tehran , Iran maryamsalimi@ipm.ir;3. Department of Mathematics, East Tehran Branch , Islamic Azad University , Tehran , Iran;4. Department of Mathematics , University of Tehran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM) , Tehran , Iran |
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| 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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| Keywords: | C-injective Dualizing Semidualizing |
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