The lattice structure of preradicals

In this paper we study the lattice of all preradicals on a ring R. We describe this lattice, we prove that it is an atomic and coatomic lattice and we describe the atoms and coatoms. We also give characterizations of simple Artinian, semisimple Artinian, and V-rings in terms of preradicals.

Detalles Bibliográficos
Autores: Raggi, F, Montes, JR, Rincon, H, Fernandez-Alonso, R, Signoret, C
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1875
Acceso en línea:http://hdl.handle.net/11154/1875
Access Level:acceso abierto
Palabra clave:Mathematics
Descripción
Sumario:In this paper we study the lattice of all preradicals on a ring R. We describe this lattice, we prove that it is an atomic and coatomic lattice and we describe the atoms and coatoms. We also give characterizations of simple Artinian, semisimple Artinian, and V-rings in terms of preradicals.