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- W2950401039 abstract "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 $Delta^0_alpha$ categorical if for any computable structure B isomorphic to A there is a $Delta^0_alpha$ function witnessing that the two are isomorphic. The present paper seeks to characterize $Delta^0_alpha$ categoricity for Abelian p-groups, and results of this kind are given for broad classes of Abelian p-groups and values of $alpha$. The remaining open cases are exhaustively described." @default.
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- W2950401039 date "2008-05-13" @default.
- W2950401039 modified "2023-09-27" @default.
- W2950401039 title "Effective categoricity of Abelian p-groups" @default.
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