A note on Gorenstein AC-projective and Gorenstein AC-flat modules

Junpeng Wang Colloquium Mathematicum MSC: 18G25, 16E10, 16E50. DOI: 10.4064/cm8466-9-2021 Published online: 7 April 2022


We establish some relationships between Gorenstein AC-projective modules and Gorenstein AC-flat modules. As applications, we obtain some new characterizations of (weak) global dimension of any ring, and obtain the compactly-generatedness of some relative derived categories.


  • Junpeng WangDepartment of Mathematics
    Northwest Normal University
    730070 Lanzhou, P.R. China

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