A note on Gorenstein AC-projective and Gorenstein AC-flat modules
Volume 170 / 2022
Colloquium Mathematicum 170 (2022), 1-13
MSC: 18G25, 16E10, 16E50.
DOI: 10.4064/cm8466-9-2021
Published online: 7 April 2022
Abstract
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.
