Valuations of polynomial rings

If R is a field on which all (non-archimedean) valuations are known, then all valuations on R[x], where x is transcendental over R , are also known. Ostrowski described such valuations of R[x] by means of pseudo-convergent sequences in the algebraic completion of A of R . MacLane later showed that i...

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Bibliographic Details
Main Author: Macauley, Ronald Alvin
Language:English
Published: University of British Columbia 2012
Subjects:
Online Access:http://hdl.handle.net/2429/41331