Bounds on transfer principles for algebraically closed and complete discretely valued fields

DOI10.1090/memo/0204zbMath0383.03022OpenAlexW2073792072WikidataQ64438061 ScholiaQ64438061MaRDI QIDQ4163515

Scott Shorey Brown

Publication date: 1978

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f8b59c84da77a64514ca12ff08d858ec83695a49

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Model theory (03C99) Local ground fields in algebraic geometry (14G20) Decidability of theories and sets of sentences (03B25) (p)-adic theory (11E95) Quantifier elimination, model completeness, and related topics (03C10)

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Zeros of \(p\)-adic forms ⋮ The complexity of linear problems in fields ⋮ Substructures and uniform elimination for p-adic fields ⋮ On the complexity of \(p\)-adic basic semi-algebraic sets ⋮ Between the Rings $${\mathbb Z}/p^n{\mathbb Z}$$ and the Ring $${\mathbb Z}_p$$: Issues of Axiomatizability, Definability and Decidability ⋮ Applications of model theory to representations of finite-dimensional algebras ⋮ A uniform method for proving lower bounds on the computational complexity of logical theories ⋮ $p$-adic zeros of quintic forms ⋮ Unnamed Item ⋮ Rationality of p-adic Poincaré series: Uniformity in p

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