2016/05/20 by Jeffrey Tolliver, Tolliver, Jeffrey
Mathematics · #Rings, Modules, and Algebras #Algebraic Geometry and Number Theory #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.1605.06425
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.