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arXiv · 2605.25259

On some open problems in commutative algebra resolved by Rethlas

Jiedong Jiang·Yixiao Li·Zeming Sun·Yuefeng Wang·Liang Xiao·Jiahong Yu
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Abstract

We report on a collection of open problems in commutative algebra and related areas that have been resolved (proved or disproved) using the Rethlas natural-language automated reasoning system. The problems are drawn from several published lists, including Open Problems in Commutative Ring Theory (Cahen-Fontana-Frisch-Glaz), Erman-Sam's survey of Boij-S\"oderberg theory. For each problem we record the precise statement and a self-contained proof produced (with no human intervention) by Rethlas and subsequently verified by human experts.

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Jiedong Jiang, Yixiao Li, Zeming Sun, Yuefeng Wang, Liang Xiao, Jiahong Yu. 2026-05-24. On some open problems in commutative algebra resolved by Rethlas. https://arxiv.org/abs/2605.25259

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