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nLab > Latest Changes: affine monad

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    • CommentRowNumber1.
    • CommentAuthormaxsnew
    • CommentTimeAug 20th 2022

    definition of affine monad from Jacobs

    v1, current

    • CommentRowNumber2.
    • CommentAuthorPaoloPerrone
    • CommentTimeFeb 9th 2024

    Added strongly and weakly affine monads.

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeFeb 13th 2024

    What is the motivation for the terminology ?

    • CommentRowNumber4.
    • CommentAuthorPaoloPerrone
    • CommentTimeFeb 15th 2024
    • (edited Feb 15th 2024)

    For strongly affine monads, I don’t know. For weakly affine monads, the idea is that a lot of the equations that hold in the affine case hold weakly, namely up to an action of the group T1 (where 1 is the monoidal unit).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 15th 2024

    Probably Zoran’s question was why preservation (in whichever sense) of a unit is referred to as “affine”.

    • CommentRowNumber6.
    • CommentAuthorPaoloPerrone
    • CommentTimeFeb 17th 2024

    Oh. If so, I wonder that too :)

    • CommentRowNumber7.
    • CommentAuthorzskoda
    • CommentTimeFeb 21st 2024

    5 Yes.

1 to 7 of 7

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