Invertibility of Matrices over Subrings
| dc.creator | Grinshpon, Mark | |
| dc.date | 2006-03-29 | |
| dc.date | 2006-08-14 | |
| dc.date.accessioned | 2026-07-07T07:07:20Z | |
| dc.date.available | 2026-07-07T07:07:20Z | |
| dc.description | Given rings $R \subseteq S$, consider the division closure $DC(R,S)$ and the rational closure $RC(R,S)$ of R in S. If S is commutative, then $DC(R,S)=RC(R,S)=RT^{-1}$, where $T = \{t\in R : t^{-1} \in S\}$. We show that this is also true if we assume only that R is commutative. | |
| dc.description | 5 pages; minor revisions upon referee's suggestions | |
| dc.identifier | https://arxiv.org/abs/math/0603688 | |
| dc.identifier | http://arxiv.org/abs/math/0603688 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110357 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S50 (Primary) 13B30, 15A15 (Secondary) | |
| dc.title | Invertibility of Matrices over Subrings | |
| dc.type | text |