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