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nLab > Latest Changes: protomodular category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 16th 2014

    I added some content in protomodular category. It’s mostly drawn from Bourn’s papers. It will need brushing up, cross-linking, etc.

    There are many further related concepts. Don’t know how important they are, e.g., Bourn says

    The dual of a topos is arithmetical.

    Is that a standard concept? And ’affine categories’?

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 16th 2014

    The page now links to normal monomorphism, but that specifies pointedness, when Bourn talks about normal morphisms in non-pointed protomodular categories.

    • CommentRowNumber3.
    • CommentAuthorKeith Harbaugh
    • CommentTimeAug 1st 2019

    Added link to Bourn’s excellent 2017 introductory textbook on his research: From Groups to Categorial Algebra : Introduction to Protomodular and Mal’tsev Categories

    diff, v11, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2021

    added pointer (here) to where Borceux & Bourn prove that Grp is protomodular.

    diff, v13, current

1 to 4 of 4

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