Extension of valuations in characteristic one
Rings and Algebras
2016-08-23 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.1605.06425,
title = {Extension of valuations in characteristic one},
author = {Jeffrey Tolliver},
journal= {arXiv preprint arXiv:1605.06425},
year = {2016}
}