Onn-dependent groups and fields

DOI10.1002/malq.201400080zbMath1366.03213arXiv1401.4880OpenAlexW2286036825MaRDI QIDQ2813675

Nadja Hempel

Publication date: 24 June 2016

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4880

zbMATH Keywords

\(n\)-dependent fields\(n\)-dependent groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (11)

Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ Mekler's construction and generalized stability ⋮ Type-definable NIP fields are Artin–Schreier closed ⋮ Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ DISTALITY RANK ⋮ Division rings with ranks ⋮ Pseudo-linear algebra over a division ring ⋮ Recent progress on definability of Henselian valuations ⋮ 𝑉𝐶_{ℓ}-dimension and the jump to the fastest speed of a hereditary ℒ-property ⋮ On \(n\)-dependence ⋮ Onn-dependent groups and fields II

Cites Work

• Unnamed Item
• Strongly dependent theories
• Subgroups of the additive group of a separably closed field
• Artin-Schreier extensions in NIP and simple fields
• Random hypergraphs in pseudofinite fields
• Corps et chirurgie
• DEFINABLE HENSELIAN VALUATIONS
• Groups and fields with $\operatorname {NTP}_{2}$
• Superstable fields and groups

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