On the connection between the representation type of an algebra and its lattice of preradicals |
| |
| Authors: | Rogelio Fernández-Alonso Silvia Gavito Jesús Efrén Pérez-Terrazas |
| |
| Institution: | 1. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, Vicentina, México D.F.;2. Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Reynosa, México D.F.;3. Facultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, Yucatán, Mexico |
| |
| Abstract: | In this paper, we study lattices of preradicals which are not small classes (in which case we say that the corresponding rings are p-large), and specially we consider some infinite representation type algebras. We construct an injective assignment between lattices of preradicals, using a full functor between the corresponding categories of modules, that satisfies certain conditions. We show that the polynomial ring over any field is p-large, and we use this fact to provide examples and some classes of algebras (both tame and wild) which are p-large. |
| |
| Keywords: | p-Large rings preradicals representation type tame algebras wild algebras |
|
|
