For a ring D and a subring C, let ℛ [D, C]={(d 1,…, dn, c, c,…): di∈ D, c∈ C, n≥ 1}, a subring
of, and let, a subring of 𝕄2 (D). In this article, various conditions are obtained for ℛ [D, C] and …

Let R be a commutative ring with identity and P a non-empty subset of Spec R. An R-module
is P-injective if, for each PEP, homomorphisms from p to M can be extended to …

Let R be a ring and M a fixed R-module. An R-module Q is called M-injective if, given a
monomorphism C $ of an R-module N into M, every homomorphism: N-+ Q can be extended …

A ring R is called right simple-injective if every itMinear map with simple image from a right
ideal to R can be extended to R. We characterize when matrix rings, upper triangular matrix …

In this work, we explore some beautiful properties of FI− semi injective modules and FI− self-
p-injective ring as a generalization of semi injective module and self-principally injective ring …

Let M be a right R-module. A right R-module N is called pseudo-Mc-injective if for any
monomorphism from a closed submodule of M to N can be extended to homomorphism from …

163 NONZERO INJECTIVE COVERS OF MODULES Richard Belshoff and Jinzhong Xu
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …

R (finitely cogenerated) injective cogenerator in the category of right R-modules. The ring R
is a QF-ring if it is right PF and right (or left) artinian, and in this case R is two-sided PF and …

In this paper, we study codivisorial injective modules over a ring of Krull type. Essentially, we
obtain two main results: First, we give a necessary and sufficient condition for a ring of Krull …

An R-module M is called almost injective if M is a supplement submodule of every module
which contains M. The module M is called F-almost injective if every factor module of M is …