Stability of Cartan–Eilenberg Gorenstein categories

  • Li Liang

    Lanzhou Jiatong University, Lanzhou (Gansu), China
  • Gang Yang

    Lanzhou Jiatong University, Lanzhou (Gansu), China


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

Cite this article

Li Liang, Gang Yang, Stability of Cartan–Eilenberg Gorenstein categories. Rend. Sem. Mat. Univ. Padova 132 (2014), pp. 103–122

DOI 10.4171/RSMUP/132-8