On the inverse operations in the class of preradicals of a module category, II

Abstract

In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals PR of the category R-Mod of left R-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in PR are shown. Connections with some constructions in the large complete lattice PR are studied and some particular cases are mentioned.