Countable and Full Exchange Rings
| dc.creator | Nielsen, Pace P. | |
| dc.date | 2004-06-11 | |
| dc.date | 2004-08-25 | |
| dc.date.accessioned | 2026-07-07T07:47:46Z | |
| dc.date.available | 2026-07-07T07:47:46Z | |
| dc.description | We show that a suitable ring with a ``nice'' topology, in which convergent limits of units are units, is an \aleph_0-exchange ring. We generalize the argument to show that a semi-regular ring, R, with a ``nice'' topology, is a full exchange ring. Putting these results in the language of modules, we show that a cohopfian module with finite exchange has countable exchange. Also, all modules with Dedekind-finite, semi-regular endomorphism rings are full exchange modules. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406230 | |
| dc.identifier | http://arxiv.org/abs/math/0406230 | |
| dc.identifier | Communications in Algebra 35(1):3-23, 2007 | |
| dc.identifier | doi:10.1080/00927870600936815 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124281 | |
| dc.subject | Rings and Algebras | |
| dc.title | Countable and Full Exchange Rings | |
| dc.type | text |