… -cotorsion modules and n-cotorsion global dimension are defined and used in order to study
semisimple Artinian skew group rings and regular coherent skew group rings… n-perfect ring. …

… Furthermore, if R is a commutative n-perfect ring, we prove that \(\mathrm {fPD}(R)<+\infty
\) … -module \(M_n\) of cotorsion dimension n. Then the cotorsion dimension of the product \(\prod …

… , a ring R is said to be n-perfect provided that all flat R-modules have projective dimensions
… 7.3], since the cotorsion pair (P , R Mod) is a projective cotorsion pair cogenerated by some …

… is FI-cotorsion if and only if M is also FI-cotorsion. In … -cotorsion dimension of modules and
rings. We give characterizations of these dimensions and we study the FI-cotorsion dimension …

… a ring R and an R-module M, we use pd R M to denote the classical projective dimension of
… (Recall: a domain R is said to be n-perfect if every flat R-module has projective dimension at …

… a ring R is left n-perfect if and only if every Gorenstein flat left R-module has PGF dimension
… of the right hand of the n-Gorenstein flat cotorsion pair without any assumptions on the ring. …

… Moreover, since all Bn and Tn are in B and the cotorsion pair (A, B) is hereditary, we …
dimension less than or equal to n (this is [4, Definition 2.1]). We show that every left n-perfect ring …

… Note that all pure injective modules are cotorsion modules, we consider a pure injective …
dimension \(\le n\). Note that over a left n-perfect ring, all modules have cotorsion dimension …

… projective dimension less or equal than n. In this paper we introduce “Strong n-Perfect rings…
In this paper we investigate the transfer of n-Perfect ring to strong n-Perfect property in some …

… ring with identity and S a multiplicative subset of R. The aim of this paper is to study the class
of commutative rings … , the weak and global homological dimensions of R. Also, we denote …