Let R be a ring and Nil∗(R) be the prime radical of R. In this paper, we say that a ring R is
left Nil∗-coherent if Nil∗(R) is coherent as a left R-module. The concept is introduced as the …

In this paper we reconsider a classical theorem by Bican and El Bashir, which guarantees
the existence of non-trivial relatively pure submodules in a module category over a ring with …

Let R be a ring, let I be an ideal of R, and let n be a fixed positive integer. We define and
study In-injective modules and In-flat modules. Moreover, we define and study left In …

Let R be a ring. In this paper, FP-Gorenstein cotorsion modules are introduced and studied.
An R-module N is said to be FP-Gorenstein cotorsion if Ext1 R (F, N)= 0 for any finitely …

The main purpose of this thesis is to study some classes of modules determined by neat,
coneat and s-pure submodules. A right R-module M is called neat-flat (resp. coneat-flat) if …

A left R-module M is called almost F-injective, if every R-homomorphism from a finitely
presented left ideal to M extends to a homomorphism of R to M. A right R-module V is said to …