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Your search keyword '"Franz-Viktor Kuhlmann"' showing total 2 results
Start Over Author "Franz-Viktor Kuhlmann" Topic 0101 mathematics Publisher american mathematical society (ams)
2 results on '"Franz-Viktor Kuhlmann"'

1. Characterization of extremal valued fields

Author

Salih Azgin, Florian Pop, and Franz-Viktor Kuhlmann

Subjects
Polynomial, Pure mathematics, Mathematics::Commutative Algebra, Applied Mathematics, General Mathematics, 010102 general mathematics, Mathematical analysis, Zero (complex analysis), Characterization (mathematics), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, Valuation ring, Image (mathematics), 010104 statistics & probability, primary: 12J10, secondary: 12E30, FOS: Mathematics, 0101 mathematics, Element (category theory), Value (mathematics), Mathematics
Abstract

We characterize those valued fields for which the image of the valuation ring under every polynomial in several variables contains an element of maximal value, or zero., Comment: 12 pages

Published
2012

2. Functorial equations for lexicographic products

Author

Salma Kuhlmann, Franz-Viktor Kuhlmann, and Saharon Shelah

Subjects
Discrete mathematics, Pure mathematics, Functor, Applied Mathematics, General Mathematics, 010102 general mathematics, Regular polygon, 0102 computer and information sciences, Lexicographical order, 01 natural sciences, Lexicography, Chain (algebraic topology), 010201 computation theory & mathematics, Order (group theory), ddc:510, 0101 mathematics, Mathematics
Abstract

We generalize the main result of [K–K–S] concerning the convex embeddings of a chain Γ in a lexicographic power Δ Γ . For a fixed non-empty chain Δ, we derive necessary and sufficient conditions for the existence of non-empty solutions Γ to each of the lexicographic functorial equations (Δ Γ ) ≤0 � Γ , (Δ Γ ) � Γa nd (Δ Γ )

Published
2003

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