Morphic and principal-ideal group rings
| dc.creator | Dorsey, Thomas J. | |
| dc.date | 2006-12-01 | |
| dc.date.accessioned | 2026-07-07T09:40:28Z | |
| dc.date.available | 2026-07-07T09:40:28Z | |
| dc.description | We observe that the class of left and right artinian left and right morphic rings agrees with the class of artinian principal ideal rings. For $R$ an artinian principal ideal ring and $G$ a group, we characterize when $RG$ is a principal ideal ring; for finite groups $G$, this characterizes when $RG$ is a left and right morphic ring. This extends work of Passman, Sehgal and Fisher in the case when $R$ is a field, and work of Chen, Li, and Zhou on morphic group rings. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612037 | |
| dc.identifier | http://arxiv.org/abs/math/0612037 | |
| dc.identifier | J. Algebra 318 (2007) 393-411 | |
| dc.identifier | doi:10.1016/j.jalgebra.2007.09.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161497 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16E50, 16U99, 16S34 | |
| dc.title | Morphic and principal-ideal group rings | |
| dc.type | text |