In [9], the author extends the definition of lifting and supplemented modules to?-lifting and?-
supplemented by replacing" small submodule" with"?-small submodule" introduced by Zhou …

Let R be a commutative ring with identity. A short exact sequence E of R-modules is said to
be neat (respectively, P-pure) if the sequence Hom R (S, E)(respectively, S⊗ RE) is exact for …

On a characterization of perfect rings<xref ref-type='fn' rid='FN0001'> ^* </xref
Page 1 COMMUNICATIONS IN ALGEBRA, 27(2), 785-791 (1999) On a characterization of …

A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …

We shall call a ring R a left IF ring if every injective left R-module is flat. The purpose of this
paper is to characterize left and two-sided IF rings in several ways and to give some …

An-module is called absolutely self neat if whenever is a map from a maximal left ideal of,
with kernel in the filter is generated by the set of annihilator left ideals of elements in into …

Abstract A right R-module M is called CS if every submodule of M is essential in a direct
summand of M. In this dissertation, we study certain classes of CS and Σ-CS rings and …

We introduce the class of “right almost V-rings” which is properly between the classes of
right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R …

Let R be a ring and be a class of right R-modules which is closed under submodules,
quotients and isomorphisms. A right R-module M is called-injective if for every T. A ring R is …

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 …