Trying to Understand the Hodge Star

Discussion in 'Physics & Math' started by Reiku, Dec 7, 2011.

  1. QuarkHead Remedial Math Student Valued Senior Member

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    1,502
    I thank rpenner and Alpha for their replies.

    Last night I came to believe, not for the first time, that my logic was all awry. Of the following I am now reasonably sure (reasonably in this context means around 70%):

    An algebra may admit of a derivation, but it need not .In other words, existence of a derivation is not a part of the definition of an algebra.

    But if a mathematical structure does admit of a derivation then it is of necessity an algebra

    Regarding funkstar's post, maybe I am under an obligation to say what I mean by "an algebra"? I cannot believe he really needs it.............
     
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  3. funkstar ratsknuf Valued Senior Member

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    Don't worry: you don't. In my own field (computer science) we really do use the term a lot more loosely, and I wasn't thinking in context.
     
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