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• 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?)

1. Correct Mal?cev to Mal’cev

Anonymous

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