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A criterion for dualizing modules

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 نشر من قبل Kamran Divaani-Aazar
 تاريخ النشر 2015
  مجال البحث
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We establish a characterization of dualizing modules among semidualizing modules. Let R be a finite dimensional commutative Noetherian ring with identity and C a semidualizing R-module. We show that C is a dualizing R-module if and only if Tor_i^R(E,E) is C- injective for all C-injective R-modules E and E and all igeq 0.



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