Valuations of skew quantum polynomials
نویسندگان
چکیده
منابع مشابه
Extending Real Valuations to Skew Polynomial Rings
Let D be a division ring, T be a variable over D, σ be an endomorphism of D, δ be a σ-derivation on D and R = D[T ;σ, δ] the left skew polynomial ring over D. We show that the set (V alν(R), ) of σ-compatible real valuations which extend to R a fixed proper real valuation ν on D has a natural structure of parameterized complete non-metric tree, where is the partial order given by μ μ̃ if and onl...
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Résumé. Soit p ≥ 3 un nombre premier et soient n > m ≥ 1. Soit πn la norme de ζpn − 1 sous Cp−1. Ainsi Z(p)[πn]|Z(p) est une extension purement ramifiée d’anneaux de valuation discrète de degré pn−1. Le polynôme minimal de πn sur Q(πm) est un polynôme de Eisenstein; nous donnons des bornes inférieures pour les πm-valuations de ses coefficients. L’analogue dans le cas d’un corps de fonctions, co...
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ژورنال
عنوان ژورنال: Asian-European Journal of Mathematics
سال: 2015
ISSN: 1793-5571,1793-7183
DOI: 10.1142/s1793557115500187