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| Pàgina inicial > Articles > Articles publicats > New characterizations of Von Neumann regular rings and a conjecture of Shamsuddin |
| Data: | 1996 |
| Resum: | 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. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Publicat a: | Publicacions matemàtiques, Vol. 40, Núm. 2 (1996) , p. 383-385, ISSN 2014-4350 |
