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Abelian $p$-groups and autostability relative to an oracle
D. I. Dushenin Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
Abstract:
We construct an example of a constructivizable, but not $0'''$-autostable, Abelian group of type 2 whose divisible part has dimension 1.
Keywords:
Abelian $p$-group, constructivizable group, $0'''$-autostable group.
Received: 01.06.2012 Revised: 21.06.2013
Citation:
D. I. Dushenin, “Abelian $p$-groups and autostability relative to an oracle”, Algebra Logika, 52:4 (2013), 403–415; Algebra and Logic, 52:4 (2013), 269–276
Linking options:
https://www.mathnet.ru/eng/al595 https://www.mathnet.ru/eng/al/v52/i4/p403
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Statistics & downloads: |
Abstract page: | 202 | Full-text PDF : | 58 | References: | 44 | First page: | 6 |
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