For a given right R-module M, a right R-module N is called pseudo-M-pinjective if every
monomorphism from an M-cyclic submodule X of M to N can be extended to a …

In [9, Theorem 3.1] KR Fuller characterized indecomposable injective projective modules
over artinian rings using i-pairs. In [3] the author generalized this theorem to …

This paper introduce and investigate the notion of FI− M− principally injective and FI− semi-
injective (fully invariant-semi injective) modules. Clearly FI− semi-injective module does not …

In this paper, we introduce a general form of pseudo-p-injectivity. Let be a right-module
and=(), its endomorphism ring. A right-module is called a generalized-pseudo-Mp-injective …

Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

Let R be a ring. JS-injective right R-modules are introduced and studied in this paper as a
generalization of small-injective right R-modules. Let N and M be right R-modules. A module …

In this paper, we introduce and study the concept of CS-Rickart modules, that is a module
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …

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 …