This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …

Modules over serial rings Page 1 Mathematical Notes, Vol. 65, No. 6, 1999 Modules Over
Serial Rings AA Tuganbaev UDC 512.55 ABSTRACT. This paper continues the study of …

In this paper we assume that every ring R is an associative ring with identity and R is two-
sided artinian. The author has defined almost projective modules and almost injective …

A right R-module M is called uniserial if its submodules are linearly ordered by inclusion, ie,
for any submodules A and B of M, either A⊆ B or B⊆ A. A ring R is right uniserial if it is …

We study Cartan–Eilenberg projective, injective and flat complexes and show how they can
be used to get Cartan–Eilenberg resolutions. We argue that every complex has a Cartan …

Let $ R $ be an associative ring with unit. Given an $ R $-module $ M $, we can associate
the following covariant functor from the category of $ R $-algebras to the category of abelian …

In the past few decades, researchers have found that studying modules using
endomorphisms is a powerful and useful tool. This has led to valuable works in this field …

Let R be a commutative ring with non-zero identity and M be a unital R-module. Then M is
called Dedekind finite if whenever N is a submodule of M such that M is isomorphic to the …

Let R be a commutative ring with identity. The purpose of this paper is to introduce and to
study a new class of modules over R called quasi-primaryful R-modules. This class contains …