On pseudo algebraically closed extensions of fields

DOI10.1016/j.jalgebra.2009.07.003zbMath1213.12006arXiv0806.3851OpenAlexW1970671260MaRDI QIDQ734764

Lior Bary-Soroker

Publication date: 13 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3851

zbMATH Keywords

PACembedding problemfield arithmetic

Mathematics Subject Classification ID

Field arithmetic (12E30)

Related Items (6)

Projective pairs of profinite groups. ⋮ Random Galois extensions of Hilbertian fields ⋮ Fully Hilbertian fields ⋮ Irreducible values of polynomials ⋮ Irreducibility and embedding problems ⋮ On finite embedding problems with abelian kernels

Cites Work

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• PAC fields over number fields
• PAC fields over finitely generated fields
• The bottom theorem
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• Fields with two incomparable Henselian valuation rings
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• Pseudo algebraically closed fields over rings
• Abundance of Hilbertian domains
• Splittings of \(\widetilde{\mathbb Q} /\mathbb Q\)
• Embedding problems over large fields
• Lectures on old and new results on algebraic curves
• On the Characterization of Hilbertian Fields
• Dirichlet’s theorem for polynomial rings
• Arithmetic over the rings of all algebraic integers.
• Rumely’s local global principle for algebraic 𝑃𝒮𝒞 fields over rings
• On PAC extensions and scaled trace forms

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