A complex C of R-modules is called#-injective if all terms Ci are injective R-modules for i∈
ℤ. In this paper, we first give some characterizations and properties of#-injective complexes …

Let ℱ be a class of R-modules.#-ℱ complexes are introduced and investigated in this article.
We say that a complex C is a#-ℱ complex if all terms C i are in ℱ for i∈ ℤ, and we denote …

The notion of an $\mathcal {L} $ complex (for a given class of $ R $-modules $\mathcal {L} $)
was introduced by Gillespie: a complex $ C $ is called $\mathcal {L} $ complex if $ C $ is …

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

Let M1 and M2 be two R-modules. Then M2 is called M1-c-injective if every homomorphism
α from K to M2, where K is a closed submodule of M1, can be extended to a homomorphism …

It is well known that a countably injective module is Σ-injective. In [KI Beidar, SK Jain, Ashish
K. Srivastava, New characterization of Σ-injective modules, Proc. Amer. Math. Soc. 316 …

Throughout this paper R represents an associative ring with identity and M is unitary right R-
module, the purpose of this paper is to study a new concept, named s-closed submodules. It …

In this paper we study M-small principally injective (in short, M-sp-injective) module which is
the generalization of M-principally injective module. We prove that if M is finite dimensional …

Let R be a commutative ring with identity and let M be a unital left R-module. Goodearl
introduced the following concept: A submodule A of an R–module M is an y–closed …

In this paper, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …