Extending a theorem of Herstein
| dc.creator | Pendergrass-Rice, Cayley | |
| dc.date | 2007-10-29 | |
| dc.date.accessioned | 2026-07-07T08:39:25Z | |
| dc.date.available | 2026-07-07T08:39:25Z | |
| dc.description | Just infinite algebras have been considered from various perspectives; a common thread in these treatments is that the notion of just infinite is an extension of the notion of simple. We reinforce this generalization by considering some well-known results of Herstein regarding simple rings and their Lie and Jordan structures and extend these results to their just infinite analogues. In particular, we prove that if A is a just infinite associative algebra, of characteristic not 2,3, or 5, then the Lie algebra $[A,A]/(Z\cap[A,A])$ is also just infinite (where Z denotes the center of A). | |
| dc.description | 7 pages, submitted to Proc. of AMS | |
| dc.identifier | https://arxiv.org/abs/0710.5545 | |
| dc.identifier | http://arxiv.org/abs/0710.5545 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141064 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W99;16W10 | |
| dc.title | Extending a theorem of Herstein | |
| dc.type | text |