# Trying to Understand the Hodge Star

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

1. ### QuarkHeadRemedial Math StudentValued Senior Member

Messages:
1,540
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.............