The purpose of this paper is to introduce dual notions of two known concepts which are semi-
essential submodules and semi-uniform modules. We call these concepts; cosemi-essential …

Abstract Let\(R\) be a commutative ring with multiplicative identity and\(P\) is a finitely
generated projective\(R\)-module. If\(P^{\ast}\) is the set of\(R\)-module homomorphism …

In ring and module theory, the cleanness property is well established. If any element of R
can be expressed as the sum of an idempotent and a unit, then R is said to be a clean ring …

Let M be an R-module, where R is commutative ring with unity. In this paper we study the
behavior of strongly hollow and quasi hollow submodule in the class of strongly …

An R-module M is called strongly FP-injective if Ext R i (P, M)= 0 for any finitely presented R-
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …

Open Access proceedings Journal of Physics: Conference series Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS Weakly Coretractable Modules To cite this article …

The modules of the title are introduced as a proper generalization of quasi co-Hopfian
modules, and they are characterized in several ways. The ring R is right nonsingular if and …

Let R be a ring and β× α (R)(ℝ β× α (R)) the set of all β× α full (row finite) matrices over
R where α and β≥ 1 are two cardinal numbers. A left R-module M is said to be “injective …

In this work, cofinitely essential supplemented modules are defined and some properties of
these modules are investigated. All rings will be associative with identity and all modules will …

Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …