Effective categoricity of Abelian p-groups
| dc.creator | Calvert, W. | |
| dc.creator | Cenzer, D. | |
| dc.creator | Harizanov, V. S. | |
| dc.creator | Morozov, A. | |
| dc.date | 2008-05-13 | |
| dc.date.accessioned | 2026-07-07T09:38:38Z | |
| dc.date.available | 2026-07-07T09:38:38Z | |
| dc.description | Let p be a fixed prime. An Abelian p-group is an Abelian group (not necessarily finitely generated) in which every element has for its order some power of p. The countable Abelian p-groups are classified by Ulm's theorem, and Khisamiev characterized the Abelian p-groups with computable copies. A computable structure A is said to be $Δ^0_α$ categorical if for any computable structure B isomorphic to A there is a $Δ^0_α$ function witnessing that the two are isomorphic. The present paper seeks to characterize $Δ^0_α$ categoricity for Abelian p-groups, and results of this kind are given for broad classes of Abelian p-groups and values of $α$. The remaining open cases are exhaustively described. | |
| dc.description | Improved version accepted for publication in Annals of Pure and Applied Logic | |
| dc.identifier | https://arxiv.org/abs/0805.1889 | |
| dc.identifier | http://arxiv.org/abs/0805.1889 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160878 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.subject | 03D45; 03C57 | |
| dc.title | Effective categoricity of Abelian p-groups | |
| dc.type | text |