… the dimension of X … ring, ( PGF , PGF ⊥ ) forms a projective cotorsion pair cogenerated
by a set. On the other hand, if R is a ring such that GP ⊆ GF (eg left coherent and right n-perfect …

… always means a formal triangular matrix ring in this paper, where A and B are rings and U is
a (B,A)-bimodule. By [10, Theorem 1.5], the category T-Mod of left T-modules is equivalent to …

… injective dimension, we have that H+ has finite flat dimension… Since (⊥GI, GI) is a complete
hereditary cotorsion pair with … sided noetherian ring such that RR is a left n-perfect ring, and …

… categories associated with a cotorsion pair. Before giving an … In Section 6 we characterize
rings of finite finitistic dimension … being n-perfect—every flat module has projective dimension …

… A)modules and some known complete hereditary cotorsion pairs, we describe several types
… Recall that R is a left n-perfect ring if every flat left R-module has the projective dimension at …

… of the nice properties that flat and cotorsion modules have. … , R) are two complete hereditary
cotorsion pairs in A such that Q… For any ring R with finite weak global Gorenstein dimension, …

… cotorsion pair over right coherent and left n-perfect rings. … of modules of finite projective
dimension [20, Theorem 2.20]. … –Chen ring R there exists a hereditary complete cotorsion pair (…

… a d-dimensional commutative complete Noetherian local ring … dimension, P∞(Λ ), and
the modules of finite injective … ∞(Λ )) forms a hereditary complete cotorsion theory and the …

… and right n-perfect rings (those rings for which the flat right modules have finite projective
dimension). The existence of Gorenstein-projective precovers over these rings was proved in [9]…

… what he called GC -dimension for finitely generated modules over Noetherian rings, where
C is a … in [16] the study of GC-dimension to arbitrary modules over commutative Noetherian …