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

In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\mathbb{PR}$ 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 $\mathbb{PR}$ are shown. Connections with some constructions in the large complete lattice $\mathbb{PR}$ are studied and some particular cases are mentioned.