Coprime preradicals and lattices on the Category $sigma [L]

Ponente(s): Jaime Castro Pérez, José Ríos, Jesús Villagómez

Based on the concept of a lattice preradical introduced in "Lattice preradicals with applications to Grothendieck categories and torsion theories" (J. of Algebra 2015), we present and investigate in this talk the lattice counterparts of the concepts of coprime and coirreducible lattice preradicals on the category Mod-R of all unital right R-modules over an associative ring R with identity, as introduced and studied in "Coprime preradicals and modules" (Journal of Pure and Applied Algebra 200, pp. 51-69, 2005)..