Some aspects of the classes of idempotent and radical elements in L-pr

Ponente(s): Jaime Castro Pérez, Toma Albu José Ríos Montes

In recent papers, we presented and investigated the latticial counterpart of the big lattice R-pr of all the preradicals on the category Mod-R of all unital right R-modules over an associative ring R with identity. In this talk, we continue the study of the lattice preradicals, and we introduce the concepts of an idempotent lattice preradical and a lattice radical. For r a fixed lattice preradical, we define an equivalence relation in L-pr and obtain interesting partitions of the lattice L-pr.