Strongly Gorenstein injective complexes with respect to a cotorsion pair |
( Volume 6 Issue 5,May 2019 ) OPEN ACCESS |
Author(s): |
Kaiying Yuan |
Abstract: |
This paper introduces strongly Gorenstein injective complexes with respect to a cotorsion pair , that is, strongly Gorenstein injective complexes, and give some properties and equivalent characterizations. Firstly, we define Gorenstein injective complexes, that is the complexes of Gorenstein injective modules, and discuss some properties. Secondly, we define strongly Gorenstein injective complexes, and prove Gorenstein injective complex is a summand of some strongly Gorenstein injective complex. |
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