The Schroder-Bernstein property for theories of abelian groups
| dc.creator | Goodrick, John | |
| dc.date | 2007-05-13 | |
| dc.date.accessioned | 2026-07-07T08:01:22Z | |
| dc.date.available | 2026-07-07T08:01:22Z | |
| dc.description | A first-order theory has the Schroder-Bernstein property if any two of its models that are elementarily bi-embeddable are isomorphic. We prove that if G is an abelian group, then the follwing are equivalent: 1. Th(G, +) has the Schroder-Bernstein property; 2. Th(G, +) is omega-stable; 3. G is the direct sum of a divisible group and a torsion group of bounded exponent; 4. Th(G, +) is superstable, and if (H, +) is a saturated elementary extension of (G,+), every map in Aut(H/H^0) is unipotent. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0705.1850 | |
| dc.identifier | http://arxiv.org/abs/0705.1850 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128886 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.subject | 03C45 (Primary) 03C52, 20K99 (Secondary) | |
| dc.title | The Schroder-Bernstein property for theories of abelian groups | |
| dc.type | text |