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Valuations of function fields and their applications
by
Sudesh Kaur Khanduja
Centre for advanced study in mathematics, Panjab University, Chandigarh, India
Coauthors: Franz-Viktor Kuhlmann (University of Saskatchewan, Saskatoon, Canada), Jayanti Saha (Panjab University, Chandigarh, India)
Let v be a Krull valuation of a field K. We discuss some properties of prolongations of v to a simple transcendantal extension K(x) of K and show how these prolongations can be used to obtain an Irreducibility Criterion for polynomials with coefficients in K, and a generalization of the classical Hensel's Lemma.
Date received: July 18, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-83.