Let R be an arbitrary ring and n ≥ 0 n≥ 0 be an integer or n= ∞ n=∞. We introduce and
study FP _n n-injective and FP _n n-flat complexes of modules, which unify the following …

In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …

Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

We show that an N-complex of modules C is FP-injective if and only if C is N-exact and Z ni
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …

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 …

Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

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 n≥ 1 be an integer. We introduce the notions of n-FP-gr-injective and n-gr-flat modules.
Then we investigate the properties of these modules by using the properties of special …

In this paper, we introduce and study the concepts of weak n-injective and weak n-flat
modules in terms of super finitely presented modules whose projective dimension is at most …

Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …