Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank

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dc.creatorShlapentokh, Alexandra
dc.date2007-05-30
dc.date.accessioned2026-07-07T08:03:34Z
dc.date.available2026-07-07T08:03:34Z
dc.descriptionWe show that elliptic curves whose Mordell-Weil groups are finitely generated over some infinite extensions of $\Q$, can be used to show the Diophantine undecidability of the rings of integers and bigger rings contained in some infinite extensions of rational numbers.
dc.identifierhttps://arxiv.org/abs/0705.4324
dc.identifierhttp://arxiv.org/abs/0705.4324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129624
dc.subjectNumber Theory
dc.subjectLogic
dc.subject11U05; 11G05
dc.titleRings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank
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