Let R be a ring and na fixed non-negative integer. TI n (resp. TF n) denotes the class of all
right R-modules of F GT-injective dimensions at most n (resp. all left R-modules of F GT-flat …

Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …

Let R be a ring, m and n are fixed nonnegative integers, and In the class of all left R-modules
of injective dimension at most n. A left R-module M is called (m, n)-copure injective if Extm+ …

Let R be a ring, na fixed non-negative integer and ℱ the class of all left R-modules of FP-
injective dimensions at most n. It is proved that all left R-modules over a left coherent ring R …

Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if Ext1 (P, M)= 0 for any (m, n)-presented right R-module P; M is said to be (m, n) …

Let R be a ring, na fixed nonnegative integer. The concepts of (n, 0)-FI-injective and (n, 0)-FI-
flat modules, and then give some characterizations of these modules over left n-coherent …

Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …