Independent fields and cartesian products
R. Sikorski (1950)
Studia Mathematica
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R. Sikorski (1950)
Studia Mathematica
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G. Leloup (2003)
Collectanea Mathematica
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We prove some properties similar to the theorem Ax-Kochen-Ershov, in some cases of pairs of algebraically maximal fields of residue characteristic p > 0. This properties hold in particular for pairs of Kaplansky fields of equal characteristic, formally p-adic fields and finitely ramified fields. From that we derive results about decidability of such extensions.
Jeffrey L. Stuart (2016)
Czechoslovak Mathematical Journal
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Humio Ichimura, Fuminori Kawamoto (2003)
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Acta Arithmetica
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Recherche Coopérative sur Programme n°25
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Shabbir, Ghulam, Amur, Khuda Bux (2006)
APPS. Applied Sciences
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