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Open Problems in Commutative Algebra Resolved by Rethlas

Algebra · posed by Cahen, Fontana, Frisch and Glaz; Erman and Sam; and others · solved

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Statement

A collection of open problems drawn from published lists, including Cahen, Fontana, Frisch and Glaz's Open Problems in Commutative Ring Theory and Erman and Sam's survey of Boij-Soderberg theory, each proved or disproved by one automated reasoning system, with the precise statement and a self-contained proof recorded per problem.

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  1. proof attempt · #1

    Rethlas, with Jiedong Jiang, Yixiao Li, Zeming Sun and Yuefeng Wang

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    The paper's claim is the strongest form of attribution in this catalog: for each problem it records a self-contained proof produced with no human intervention by Rethlas, which the authors then verified. The humans chose the problems and checked the output.

    a batch of problems from published lists, resolved in one paper

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