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arXiv · 2601.14136

Scheme theory for commutative semirings

Roberto Gualdi·Arne Kuhrs·Mayo Mayo Garcia·Xavier Xarles
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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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Roberto Gualdi, Arne Kuhrs, Mayo Mayo Garcia, Xavier Xarles. 2026-01-20. Scheme theory for commutative semirings. https://arxiv.org/abs/2601.14136

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