Two examples concerning existential undecidability in fields
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We construct an existentially undecidable complete discretely valued field of mixed characteristic with existentially decidable residue field and decidable algebraic part, answering a question by Anscombe-Fehm in a strong way. Along the way, we construct an existentially decidable field of positive characteristic with an existentially undecidable finite extension, modifying a construction due to Kesavan Thanagopal.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 1-10 |
Seitenumfang | 12 |
Fachzeitschrift | The journal of symbolic logic |
Jahrgang | 2023 |
Publikationsstatus | Veröffentlicht - 23 Nov. 2023 |
Peer-Review-Status | Ja |
Externe IDs
Mendeley | 5908dc1b-3373-3324-944f-a218a4e49ee9 |
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Scopus | 85178181932 |