The Algebra of Filters of a Cubic Algebra
| dc.creator | Bailey, Colin | |
| dc.creator | Oliveira, Joseph | |
| dc.date | 2009-01-30 | |
| dc.date.accessioned | 2026-07-07T12:36:33Z | |
| dc.date.available | 2026-07-07T12:36:33Z | |
| dc.description | In this paper we discuss the inclusion ordering on the filters of a filter algebra, a special type of Metropolis-Rota algeba. Using embeddings into interval algebras we show that the notion of "untwisted" gives rise to a congruence relation on the group of g-filters. We also show that there is a natural reflection operator on the class of filters with an easily definable enveloping cubic subalgebra. | |
| dc.description | 22 pages, ams-latex | |
| dc.identifier | https://arxiv.org/abs/0901.4933 | |
| dc.identifier | http://arxiv.org/abs/0901.4933 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218129 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Combinatorics | |
| dc.subject | 06A06(Primary), 06E99 (Secondary) | |
| dc.title | The Algebra of Filters of a Cubic Algebra | |
| dc.type | text |