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nLab > Latest Changes: algebra modality

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  1.  
    • CommentRowNumber1.
    • CommentAuthorJ-B Vienney
    • CommentTimeAug 13th 2022

    Created this page to extract the notion of algebra modality from codifferential categories and reuse it in other places.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2022

    The terminology “algebra modality” seems to clash with the usual use of modality, which crucially requires idempotency of the monad.

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeAug 14th 2022

    I don’t know much about these kind of modalities. But the exponential modality ?? of linear logic is nor an idempotent monad even if a monad.

    • CommentRowNumber4.
    • CommentAuthorGuest
    • CommentTimeAug 14th 2022
    (It’s J-B)
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2022

    True, that’s a good point.

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeAug 15th 2022

    I edited modality accordingly. I didn’t add a mention of the exponential modalities, but that would be worth doing too.

1 to 6 of 6

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