On the left coquotient with respect to meet for pretorsions in modules

Abstract

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 operation coincides with the operation (called right residual ) introduced and investigated by J.S.Golan in the terms of preradical filters of R. For that it is necessary to show the concordance of the studied operation with the transition r Er from pretorsions of R-Mod to the preradical filters of the ring R.