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Notation for the Dual of a Vector Space

  1. Jun 28, 2014 #1
    I've been reading about algebraic geometry lately. I see that a lot of authors use ##V^\vee## to denote the dual space of a vector space ##V##. Is there any particular reason for this?

    The only reason I could think of is that this notation leaves us free to use ##R^*## to denote the units of ##R##. However, this still doesn't make sense of the reasoning behind the notation.

    Thank you!
  2. jcsd
  3. Jun 29, 2014 #2


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    What do you mean by the units of R, how do you define the dual of a ring? Do you define the ring as a module over itself and then define its dual?
  4. Jun 29, 2014 #3
    Sorry. I'm saying that the notation prevents confusion between the dual of a vector space and the group of units of a ring. The question is why the "\vee" is used.
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