Chen, Dong; Hu, Kui Cover Gorenstein \(AC\)-flat dimensions. (Chinese. English summary) Zbl 1474.16030 J. Guangxi Norm. Univ., Nat. Sci. 38, No. 6, 51-55 (2020). Summary: By introducing the covering Gorenstein \(AC\)-flat dimension of modules, the conditions under which Gorenstein \(AC\)-flat modules are closed under extension are discussed, and a sufficient condition for the stability of Gorenstein \(AC\)-flat modules is given. Some properties of Gorenstein \(AC\)-flat modules, and some stability conditions of Gorenstein \(AC\)-flat modules are improved. MSC: 16E10 Homological dimension in associative algebras 16D40 Free, projective, and flat modules and ideals in associative algebras 16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Keywords:Gorenstein \(AC\)-flat modules; covering Gorenstein \(AC\)-flat (injective) dimension; stability PDFBibTeX XMLCite \textit{D. Chen} and \textit{K. Hu}, J. Guangxi Norm. Univ., Nat. Sci. 38, No. 6, 51--55 (2020; Zbl 1474.16030) Full Text: DOI