Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/10358
| Títulos: | Semicentral idempotents in the multiplication ring of a centrally closed prime ring |
| Autores/as: | Cabello, J.C. Cabrera, M. Nieto, E. |
| Palabras clave: | Prime ring;Extended centroid;Multiplication ring;Semicentral idempotent;Baer ring;Anillo principal;Centroide extendido;Anillo de multiplicación;Anillo de Baer |
| Fecha de publicación: | 2012 |
| Editor/a: | Universidad de Extremadura |
| Resumen: | Let R be a ring and let M(R) stand for the multiplication ring of R. An idempotent E in M(R) is called left semicentral if its range E(R) is a right ideal of R. In the case that R is prime and centrally closed we give a description of the left semicentral idempotents in M(R). As an application we prove that, if, in addition, M(R) is Baer (respectively, regular or Rickart), then R is Baer (respectively, regular or Rickart). Similar results for *-rings are also proved. |
| URI: | http://hdl.handle.net/10662/10358 |
| Colección: | Extracta Mathematicae Vol. 27, nº 2 (2012) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_27_2_231.pdf | 121,46 kB | Adobe PDF | Descargar |
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