In [4], [5], [6] four new operations are introduced and studied in the class of preradicals PR of the category 𝑅-Mod of left 𝑅-modules, and is shown the behaviour of these operations in the case of some special types of ...

In the class PR of preradicals of the category of left R-modules RMod a new operation is defined and studied, namely the left quotient with respect to join. Some properties of this operation are shown, its compatibility ...

In the operation of left coquotient with respect to meet for preradicals of R-Mod is defined. In the present short notice the particular case of pretorsions of R-Mod is considered. We prove that for pretorsions the studied ...