Zhang, Shulin; Liu, Wanli \(n\)-cotorsion modules and \(n\)-flat modules. (English) Zbl 1424.16009 Adv. Math., Beijing 47, No. 5, 667-675 (2018). Summary: In this paper, we introduce \(n\)-cotorsion modules and study some properties of them. Over right \(n\)-coherent rings, we prove that the class of \(n\)-cotorsion left \(R\)-modules is enveloping. Furthermore, we prove that the class of \(n\)-flat left \(R\)-modules is covering and preenveloping and investigate the \(n\)-flat dimensions induced by \(n\)-flat precovers and preenvelopes. MSC: 16D40 Free, projective, and flat modules and ideals in associative algebras 16E10 Homological dimension in associative algebras Keywords:\(n\)-flat modules; \(n\)-cotorsion modules; \(n\)-flat dimensions PDFBibTeX XMLCite \textit{S. Zhang} and \textit{W. Liu}, Adv. Math., Beijing 47, No. 5, 667--675 (2018; Zbl 1424.16009)