In the class of all exact torsion theories the torsionfree classes are cover (pre-cover) classes
if and only if the classes of torsionfree relatively injective modules or relatively exact …

The notion of an almost-precover as a generalization of a-precover is introduced. Among
other results it is shown that if is any hereditary torsion theory for the category R-mod, then …

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 …

Rim and Teply [10] investigated relatively exact modules in connection with the existence of
torsionfree covers. In this note we shall study some properties of the lattice $\Cal E_ {\tau}(M) …

It is well-known (see) that a hereditary torsion theory τ for the category R-mod is noetherian if
and only if the class of all τ-torsionfree τ-injective modules is closed under arbitrary direct …