Scheme theory for commutative semirings

Published 20 Jan 2026 in math.AG and math.AC | (2601.14136v1)

Abstract: In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also called subtractive ideals). We then explain how these two approaches are related through the theory of universal valuations.

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