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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010
    • (edited May 6th 2010)

    the topic-cluster “algebra” is stiil a little orphaned on the Lab, I find. I added a bit to

    but these entries are still a bit pitiful. Maybe somebody feels challenged to turn them into good entries. Especially the latter.

    Should we have pages algebra over a Lawvere theory, algebra over a PROP, etc? Some entries look like they want such links (for instance algebra itself).

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 6th 2010
    • (edited May 6th 2010)
    I've added more to algebra over an operad. Most or all of these are examples of algebras over a monad of course, so overall it's just a matter of defining them as such and making sure that the monad in question is understood from whatever page.

    Edit: I'm generally not fond of the practice of defining a concept as a special case of a more complicated concept, as for example an algebra over an operad defined as a one-object category over an operad. Or, at least make such definitions secondary.
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    Edit: I’m generally not fond of the practice of defining a concept as a special case of a more complicated concept, as for example an algebra over an operad defined as a one-object category over an operad. Or, at least make such definitions secondary.

    Exactly, I am not a fan of that either. That’s why I am saying: these entries need sombody to take care of them. I think the previous one was written in a haste and therefore just pointed to “category over an operad”.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    Thanks for your additions. Todd! I added a brief “Idea”-sentence. Maybe that needs improvement, though… :-)

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 6th 2010
    I tweaked the Idea-sentence a little.
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 6th 2010

    I tweaked the Idea-sentence a little.

    Very good, thanks.

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