Throughout this paper R denotes associative with identity and all modules are unitary. J (R)
and Z,(R) denote the Jacobson radical and the singular right ideal of R, respectively. A right …

‎ We call a ring $ R $ right generalized semiperfect if every simple right $ R $-module is an
epimorphic image of a flat right $ R $-module with small kernel‎,‎ that is‎,‎ every simple right $ R …

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 …

It is known that a ring R is left Noetherian if and only if every left R-module has an injective
(pre) cover. We show that (1) if R is a right n-coherent ring, then every right R-module has an …

Rings all of whose right ideals are automorphism-invariant are called right a-rings. In the
present paper, we study rings having the property that every right cyclic module is dual …

A ring R is called a right C-injective ring if every homomorphism from a closed right ideal of
R to RR can be extended to one from RR to RR. It is clear that a right CS ring must be right C …

Introduction. A von Neumann regular ring A may be characterised by any one of the
following conditions:(a) every right (left) A-module is flat;(b) every right (left) A-module is p …

Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …

A ring R is called a right PCI-ring if and only if for any cyclic right R-module C either C≅ R or
C is injective. Faith has shown that right PCI-rings are either semiprime Artinian or simple …

It is shown that every finitely generated right R-module is almost injective if and only if every
cyclic right R-module is almost injective, if and only if R/J (R) is a right SV-ring with Loewy …