‎ 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 …

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Let M be a module. A\delta-cover of M is an epimorphism from a module F onto M with
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …

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 …

For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

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 …

We call a right module weakly neat-flat if is surjective for any epimorphism and any simple
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …

The notion of generalized projective covers Is Introduced to give a natural generalization of
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …

Let $ M $ be a left module over a ring $ R $ and $ I $ an ideal of $ R $. We call $(P, f) $ a
(locally) projective $ I $-cover of $ M $ if $ f $ is an epimorphism from $ P $ to $ M $, $ P $ is …

It is well-known that a ring R is right PF if and only if it is semiperfect and right self-injective
with essential right socle. In this note, it is shown that a ring R is right PF if and only if u. dim …