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

Author： Salimi Maryam   Tavasoli Elham   Yassemi Siamak  

Publisher： Taylor & Francis Ltd

E-ISSN： 1532-4125|43|6|2632-2642

ISSN： 0092-7872

Source： Communications in Algebra, Vol.43, Iss.6, 2015-06, pp. : 2632-2642

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.

Related content

Gorenstein Injective and Projective Complexes with Respect to a Semidualizing Module

By Yang Chunhua  

Communications in Algebra, Vol. 40, Iss. 9, 2012-09 ,pp. : 3352-3364 (13)

Taylor & Francis Ltd

Access to resources Recommend Favorite

AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules

By Sather-Wagstaff Sean   Sharif Tirdad   White Diana  

Algebras and Representation Theory, Vol. 14, Iss. 3, 2011-06 ,pp. : 403-428 (26)

Springer Publishing Company

Access to resources Recommend Favorite

Relative continuity of direct sums of M-injective modules

By  

Bulletin of the Australian Mathematical Society, Vol. 62, Iss. 1, 2000-08 ,pp. : 51-56 (6)

Cambridge University Press

Access to resources Recommend Favorite

Multiplicities of Semidualizing Modules

By Cooper Susan M.   Sather-Wagstaff Sean  

Communications in Algebra, Vol. 41, Iss. 12, 2013-12 ,pp. : 4549-4558 (10)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Module Structure of an Injective Resolution

By Chan C.-Y. Jean  

Communications in Algebra, Vol. 35, Iss. 11, 2007-11 ,pp. : 3713-3750 (38)

Taylor & Francis Ltd

Access to resources Recommend Favorite