Extension of valuations in characteristic one

Published 20 May 2016 in math.RA and math.NT | (1605.06425v2)

Abstract: We develop an extension of valuations theorem for suitable extensions of idempotent semirings. As an application, we give a new proof for the classical case of fields. Along the way, we develop characteristic one analogues of some central results in the theory of valuation rings.

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Jeffrey Tolliver

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