The behaviour of the inverse operations in the class of preradicals in special cases

Abstract

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 preradicals as prime, coprime, ∧-prime, ∨-coprime, irreducible and coirreducible. In this work we will present the behaviour of inverse operations in the case of semiprime and semicoprime preradicals.