Gorenstein Injective and Projective Complexes with Respect to a Semidualizing Module |
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| Authors: | Chunhua Yang Li Liang |
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| Institution: | 1. Department of Mathematics , Nanjing University , Nanjing , China chunhuayang82@gmail.com;3. School of Mathematics, Physics and Software Engineering , Lanzhou Jiaotong University , Lanzhou , China |
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| Abstract: | Let R be a commutative (possibly non-Noetherian) ring (in order to make things less technical) and C a semidualizing R-module. In this article, we introduce and investigate the notion of G C -injective (G C -projective) complexes. This extends Enochs and García Rozas's notion of Gorenstein injective (Gorenstein projective) complexes. We then show that a complex X is G C -injective (G C -projective) if and only if X m is a G C -injective (G C -projective) module for each m ∈ ?. |
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| Keywords: | G C -Injective complex G C -Injective module G C -Projective complex G C -Projective module Semidualizing module |
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