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arXiv · 2511.12815

Finitely Generated Congruences in Semirings and Canonical Positive Models

Snehinh Sen
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Abstract

In this paper, we explore semirings in which all congruences are finitely generated. Such semirings are dubbed \textit{Congruence Noetherian}. After developing sufficient background and examples, we focus on the canonical positive models of a real order and show that this obvious choice, though not finitely generated as an $\N$-module, is both Congruence Noetherian and flat over $\N$.

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Snehinh Sen. 2025-11-16. Finitely Generated Congruences in Semirings and Canonical Positive Models. https://arxiv.org/abs/2511.12815

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