T-torsion-free T-injective covers Page 1 COMMUNICATIONS IN ALGEBRA, 12(21), 2707-2726
(1984) 7-TOXSION-FREE T-INJECTIVE c'i3VERS Blas Torrecillas Jover Departamento de …

1. Introduction. The notion of an injective cover has been recently introduced by Enochs r41
in terms of the dual of a categorical definition of an injective envelope. Earlier Enochs r31 …

Let R be a ring with identity. In this note we study covers of left R-modules by r-injectives left
R-modules, where r is a hereditary torsion theory defined in the category of all left R …

Injective covers of modules were introduced by Enochs [5] as a categorical dual of an
injective envelope and they have been investigated by many authors. The T-torsionfree …

Recently, Rim and Teply, using the notion of $\tau $-exact modules, found a necessary
condition for the existence of $\tau $-torsionfree covers with respect to a given hereditary …

Let $ R $ be a ring, and let $\tau $ be a torsion theory for R-mod. We give a necessary
condition for every R-module to have a $\tau-$ torsionfree cover; this necessary condition is …

This paper continues the study of the existence of torsion-free covers with respect to a
faithful hereditary torsion theory (ℑ, F) of left modules over a ring R with unity. If the filter of …

Recently Rim and Teply [11] found a necessary condition for the existence of $\sigma $-
torsionfree covers with respect to a given hereditary torsion theory for the category $ R …

Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
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Abstract Let σ=(T, F) be a hereditary torsion theory for the category R-mod of unital left R-
modules over an associative ring R with an identity element. The purpose of this note is to …