Absolutely pure modules act in ways similar to injective modules. There are conditions on a
ring which guarantee that the class of injective modules will be covering. In this article, we …

Full article: Coherent rings and absolutely pure covers Skip to Main Content Taylor and Francis
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Absolutely pure modules act in ways similar to injective modules. Therefore, through-out this
document we investigate many of these properties of absolutely pure modules which are …

Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
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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 …

Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

A submodule A of a left module B (over an associative ring with 1) is pure if for any right
module F, the natural homomorphism F⊗ A→ F⊗ B is injective. A module C is pure-injective …

Let R be a ring and M a left R-module. An R-module N is called a cofinite extension of M in
case and is finitely generated. We say that M has the property CE (resp. CEE) if M has a …

In this paper, we prove that the injective cover of the R-module E (R/B)/R/B for a prime ideal
B of R is the direct sum of copies of E (R/B) for prime ideals D⊃ B, and if B is maximal, the …

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 …