 visitante ::
identificación
|
|||||||||||||||
|
Buscar | Enviar | Ayuda | Servicio de Bibliotecas | Sobre el DDD | Català English Español | |||||||||
| Página principal > Artículos > Artículos publicados > New characterizations of Von Neumann regular rings and a conjecture of Shamsuddin |
| Fecha: | 1996 |
| Resumen: | A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a Von Neuman regular ring. We prove two theorems and a conjecture of Shamsuddin that characterize when R itself is a von Neumann ring, using a splitting theorem of the author on when the maximal regular ideal of a ring splits off. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió publicada |
| Publicado en: | Publicacions matemàtiques, Vol. 40, Núm. 2 (1996) , p. 383-385, ISSN 2014-4350 |
