Full article: On Generalized Perfect Rings Skip to Main Content Taylor and Francis Online
homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals …

1. Throughout this note, all rings will have unit elements and all modules will be unitary. By a
Noetherian ring, we shall mean a right Noetherian ring. A non-zero right ideal in a ring will …

All the rings will be associative with identity and the modules will be unital. If M is a right
module we denote by M* the dual module Hom „(M., R) of M. If M is a right R-module, a flat …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

We develop a technique to construct finitely injective modules which are non-trivial, in the
sense that they are not direct sums of injective modules. As a consequence, we prove that a …

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 …

‎ A module $ M $ is lifting if and only if $ M $ is amply supplemented and‎‎ every coclosed
submodule of $ M $ is a direct summand‎.‎ In this paper‎,‎ we are‎‎ interested in a generalization …

A module M is⊕‐supplemented if every submodule of M has a supplement which is a direct
summand of M. In this paper, we show that a quotient of a⊕‐supplemented module is not in …

Lifting modules as a main concept in module theory have been studied and investigated
extensively in recent decades. The first author in [1] tried to consider and investigate this …

Let M1,…, Mn be right modules over a ring R. Suppose that the endomorphism ring EndR
(Mi) of each module Mi has at most two maximal right ideals. Is it true that every direct …