Real Liouville Extensions

DOI10.1080/00927872.2014.888561zbMath1370.12002arXiv1206.2283OpenAlexW1984276136MaRDI QIDQ5256723

Zbigniew Hajto, Teresa Crespo

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1206.2283

zbMATH Keywords

split solvable algebraic groupreal Picard-Vessiot theoryLiouville extension

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Differential algebra (12H05) Galois theory and commutative ring extensions (13B05)

Related Items (4)

Real Liouvillian extensions of partial differential fields ⋮ Real difference Galois theory ⋮ On the differential transcendentality of the Morita \(p\)-adic gamma function ⋮ Picard-Vessiot extensions of real differential fields

Cites Work

• Real and \(p\)-adic Picard-Vessiot fields
• Picard-Vessiot theory for real fields
• Constrained extensions of real type

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