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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 10th 2015

    gave the statement that derivations of smooth functions are vector fields a dedicated entry of its own, in order to be able to convieniently point to it

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeMar 10th 2015
    • (edited Mar 10th 2015)

    Taking after this style of entry, I decided to write epimorphisms of groups are surjective. Added a little on splittings of exact sequences to split idempotent, and to derivation (mentioning the notion of a derivation of a group valued in a module over that group, a la group cohomology, as a special case of derivations valued in bimodules).

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2017

    I have expanded the Idea-section and typed up a detailed proof at derivations of smooth functions are vector fields.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 4th 2021

    added pointer to the reference that Dmitri kindly provided over at tangent bundle:

    diff, v12, current