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arxiv: 1605.06425 · v2 · pith:V6NDWKQZnew · submitted 2016-05-20 · 🧮 math.RA · math.NT

Extension of valuations in characteristic one

Jeffrey Tolliver This is my paper
classification 🧮 math.RA math.NT
keywords characteristicdevelopextensionvaluationsalonganaloguesapplicationcase
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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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