Problem detail · source-aware

Open Problems in Commutative Algebra Resolved by Rethlas

resolvedconfidence 70%

VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Precise 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.

The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

Rethlas

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.

Provider: Frenzy Math · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

The authors state they verified each machine-produced proof, but nothing here is refereed and we have not checked any of them ourselves. A paper whose entire content is unreviewed automated output warrants more caution than a single result would.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

  1. arXiv:2605.25259 - On some open problems in commutative algebra resolved by Rethlas

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

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

VibeMath has not independently audited the mathematical statement, proof, or novelty claim.

  • VibeMath has not independently verified the mathematical claim.
  • AI-attempt independence and training-data exposure are unknown unless explicitly documented.
  • VibeMath has not independently audited the mathematical statement, proof, or novelty claim.