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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2021

    starting something, to be another item of internalization along with monoid object and group object.

    Not done yet, but need to save.

    (Our entry “action” does cover internal notions of actions, but it seems hard to bring that old entry into a good shape, and in any case splitting off an entry on the internal notion might just be the first step of bringing it into shape)

    The evident question for compiling this entry is: What are the canonical original references?

    Eckmann-Hilton in their articles originally introducing the notion of internal group objects (here) have all the ingredients in hand to say “action object”, but it seems they don’t (?).

    I found the notion stated clearly and explicitly, albeit somewhat in passing, in:

    but if anyone has other/better references, let’s add them.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2021
    • (edited Mar 22nd 2021)

    oh, darn, (only) now I remember that we have already module object. Am merging this with action object now.

    Sorry for the noise here. But this shows we need a table categorical algebra – contents. Will create one…

    v1, current

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