Rendiconti del Seminario Matematico della Università di Padova

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Volume 132, 2014, pp. 103–122
DOI: 10.4171/RSMUP/132-8

Published online: 2014-11-04

Stability of Cartan–Eilenberg Gorenstein categories

Li Liang[1] and Gang Yang[2]

(1) Lanzhou Jiatong University, Lanzhou (Gansu), China
(2) Lanzhou Jiatong University, Lanzhou (Gansu), China

We study Cartan-Eilenberg Gorenstein categories by introducing ${\rm {CE}} $ -projective ${\rm {CE}} $ -generators and ${\rm {CE}} $ -injective ${\rm {CE}} $ -cogenerators in the paper. We give a relationship between injective cogenerators (resp., projective generators) introduced by Sather-Wagstaff, Sharif and White and ${\rm {CE}} $ -injective ${\rm {CE}} $-cogenerators (resp., ${\rm {CE}} $-projective ${\rm {CE}} $-generators). As applications, we prove some stability results of Cartan-Eilenberg Gorenstein categories.

Keywords: Gorenstein categories, Cartan–Eilenberg Gorenstein categories, projective generators, injective cogenerators

Liang Li, Yang Gang: Stability of Cartan–Eilenberg Gorenstein categories. Rend. Sem. Mat. Univ. Padova 132 (2014), 103-122. doi: 10.4171/RSMUP/132-8