… Some characterizations of T M n -coherent modules are proved. We show that an R-module
F is T M n -flat (injective) if and only if F is T Rm n -… Among other results, T M n -coherent rings …

… finitely presented left A-modules (reproducing a particular case of a recent result of Št’ovícek …
complex of fp-injective modules over a pair of noncommutative coherent rings A and B, and …

… Comparing with some classical results of Noetherian rings, we show … some new
characterizations of coherent rings, we mainly study some properties of strongly FP-injective …

… We study strongly J-n-injective modules, strongly J-n-flat modules and left strongly J-n-coherent
rings. … , we also present some characterizations of strongly J-n-coherent rings and J-n-…

… n-flat and n-FP-injective modules to that of complexes and characterize n-coherent rings in
terms of n-flat and n-FP-injective … the principal results on n-flat and n-FP-injective modules [9] …

… In this paper, right cocoherent rings will denote right co-coherent rings in order to facilitate. …
cogenerated injective module and E an (n−1)-copresented factor module of E with id(E ) ≤ d−…

… We give some equivalent characterizations of left n-coherent rings … study C-FP n -injective
modules and C-FP n -flat modules, relative to … Our main results in this section are the following …

… and injective modules and they play an important role in generalizing many classical results
… This proves our claim and yields that R is left coherent, by [7, Theorem 1]. Therefore, FP-I(R) …

… R(M,N) = 0 for any C-injective module N, and we will call a ring R left strongly C-coherent, if
whenever 0 → K → P → C → 0 is … in Theorem 6, we have immediately the following results. …

… )=0\) for any (n, 0)-injective module N, and we call a right R-module M (… Moreover, since
projective module is (n, 0)-flat and injective module is (n, 0)-cotorsion, we have that \(\varphi \) is …