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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2009
    • (edited Nov 2nd 2009)
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 22nd 2013
    • (edited Jan 22nd 2013)

    At Lie-Rinehart pair in Revision 8 somebody added the words

    CAUTION: Elsewhere in the literature, it is : a Lie algebra morphism from 𝔤Der(A)\mathfrak{g} \to Der(A)

    I don’t understand what this addition is good for. That homomorphism is stated precisely this way just three lines above.

    Therefore I am removing that addition now. But please let me know if I am missing something.

    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeFeb 24th 2020
    In the original reference [Rinehart] it is not asked that the anchor map be a morphism of Lie algebras.

    A sufficient condition for that to happen is that the annihilator A_L={a \in A : aX=0}
    be trivial. See Lemma 2.2 in https://arxiv.org/abs/2002.05718

    Thank you,
    Francisco Kordon,
    franciscokordon at uca.fr
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