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Whether Amenability of an Algebra Depends on the Ground Field

Algebra · posed by Yves Cornulier, 2015 · solved

1 comment

Statement

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.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Be'eri Greenfeld, using ChatGPT 5.6 Sol

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    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."

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Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

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