Abstract
In the present work, a procedure for determining idempotents of a commutative ring having a sequence of ideals with certain properties is presented. As an application of this procedure, idempotent elements of various commutative rings are determined. Several examples are included illustrating the main results.
Acknowledgments
This research was carried on while the first author was a post-doctoral scholar at the Departamento de Matemáticas, Universidad Autónoma Metropolitana – Iztapalapa, Cd. de México, México. The second author was a visiting researcher at the Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas (IIMAS), Universidad Nacional Autónoma de México, Cd. de México. They would like to thank these institutions for the warm reception during their stay.