The typical countable algebra
| dc.creator | Goldstern, Martin | |
| dc.date | 2008-01-08 | |
| dc.date.accessioned | 2026-07-07T08:53:16Z | |
| dc.date.available | 2026-07-07T08:53:16Z | |
| dc.description | We argue that it makes sense to talk about ``typical'' properties of lattices, and then show that there is, up to isomorphism, a unique countable lattice L* (the Fraisse limit of the class of finite lattices) that has all ``typical'' properties. Among these properties are: L* is simple and locally finite, every order preserving function can be interpolated by a lattice polynomial, and every finite lattice or countable locally finite lattice embeds into L*. The same arguments apply to other classes of algebras assuming they have a Fraisse limit and satisfy the finite embeddability property. | |
| dc.identifier | https://arxiv.org/abs/0801.1212 | |
| dc.identifier | http://arxiv.org/abs/0801.1212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145560 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Logic | |
| dc.subject | 08B25 (Primary) 03C35, 08A55, 54E52 (Secondary) | |
| dc.title | The typical countable algebra | |
| dc.type | text |