Universität Konstanz Fachbereich Mathematik und Statistik Schwerpunkt Reelle Geometrie und Algebra Einladung Im Oberseminar Reelle Geometrie und Algebra hält Simon Müller (Universität Konstanz) am Freitag, 11.11.2016, einen Vortrag zum Thema: Quasi-ordered fields: a uniform approach to orderings and valuations Der Vortrag findet um 13:30 Uhr in F426 statt. Alle Interessenten sind herzlich eingeladen. Abstract: Simply said, a quasi-order on a field K is an ordering, except that the antisymmetry is omitted and the compatibility with plus is weakened. In the note ”Quasi-Ordered Fields” [JPPA 45 (1987) 207-210], the author S. M. Fakhruddin shows that there are precisely two kinds of quasi-ordered fields, namely ordered fields and Krull valued fields. Thus, the notion of quasi-orders allows us to treat ordered and valued fields simultaneously I will introduce the notion of quasi-ordered fields and present the above result by Fakhruddin in detail. This talk will be followed up by a talk on quasi-ordered groups by Gabriel Lehéricy on November 25. Sebastian Gruler Koordinator Oberseminar
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