Whether Amenability of an Algebra Depends on the Ground Field
Cornulier asked, in a MathOverflow discussion, whether amenability of a module over an associative algebra depends on the ground field. It does not: the notion is invariant under change of base field.
- Result
- Proved(see note)
- Status
- Resolved
- AI contribution
- AI co-developed
- Method
- Argument
- Field
- Noncommutative algebra
- Posed by
- Yves Cornulier
- Year posed
- 2015
- Years open
- 11y
- Solved
- 2026-08-08
- Model
- ChatGPT 5.6 Sol
- Vendor
- OpenAI
- Collaborators
- Be'eri Greenfeld
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 10 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What was actually shown
The footnote is worth reading on its own: an author saying in print that the model earned coauthorship and that policy is what prevents it.
What the AI did
The abstract states it plainly: "A significant part of the argument is based on ideas of ChatGPT 5.6 Sol." The author goes further in a footnote on the title page: "While it is currently prohibited by arXiv policy to list AI as a coauthor, the (human) coauthor is confident that ChatGPT's contribution merits an author credit."
Verification
A preprint days old, with no independent review.
Source
- PaperarXiv