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    • CommentRowNumber1.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 18th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2021

    Nice!

    I have added hyperlinks to more of the technical term appearing (such Spectra).

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeSep 19th 2021

    Also, should idempotent monoids have a unit?

    When there is no unit, surely the appropriate terminology is “idempotent magma”.

    • CommentRowNumber4.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 19th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber5.
    • CommentAuthorvarkor
    • CommentTimeSep 19th 2021

    I agree “idempotent semigroup (object)” seems most suitable when associativity is present. I think “object” can be omitted in this instance, as there ought to be no confusion.

    • CommentRowNumber6.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 20th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber7.
    • CommentAuthorvarkor
    • CommentTimeSep 20th 2021

    It’s reasonable to redirect idempotent semigroup to this page, even if it’s mainly about idempotent monoids. I don’t see a problem with terminology like semigroupal category, considering we already have magmoidal category and the like.

    • CommentRowNumber8.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 21st 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber9.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 26th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber10.
    • CommentAuthorncfavier
    • CommentTimeFeb 18th 2024

    Added a note that this is different from the usual definition of an idempotent monoid in algebra.

    diff, v6, current