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nLab > Latest Changes: kernel

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 10th 2012
    • (edited Sep 10th 2012)

    added below the very first definition at kernel a remark that spells out the universal property more explicitly. Also added mentioning of some basic examples.

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeSep 12th 2019
    what is "p"?

    Remark 2.2. More explicitly, this characterizes the object ker(f) as the object (unique up to unique isomorphism) that satisfies the following universal property:
    for every object C and every morphism h:C→A such that f∘h=0 is the zero morphism, there is a unique morphism ϕ:C→ker(f) such that h=p∘ϕ.

    Shawn Nevlainen
    • CommentRowNumber3.
    • CommentAuthorRodMcGuire
    • CommentTimeSep 12th 2019
    • (edited Sep 12th 2019)

    what is “p”?

    rolled back Revision 24 by Anonymous on July 10, 2018 at 08:40:09 from 2405:204:d10c:ce2f:7821:62c1:4464:3a37.

    which substituted for a TeX array defining p

    ![](https://lh3.googleusercontent.com/khOombA3zv7t4HK1yT9gmsbs2zIOBHF7nkPMEL-4h8yJmSJVXgwQn4PmBEitCQnxsqYfjQ=s107)

    which I don’t know if ever worked

    (didn’t there used to be a rollback button?)

    diff, v25, current

  4. Correct Mal?cev to Mal’cev

    Anonymous

    diff, v26, current

  5. Fixed typo.

    am813nt

    diff, v27, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 31st 2023

    and I have further touched wording and hyperlinking in that paragraph (here)

    diff, v28, current

1 to 6 of 6

  1.