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Does anyone know the name of this type of map

  1. Oct 27, 2011 #1
    I have been exploring an algebraic structure with a map (_)* such that
    (x)*** = (x)*
    but in general it is not an involution. Also, the set of elements e such that
    e** = e
    do not form a substructure because they are not closed to addition.

    Has anyone seen such maps before, or know/can suggest a name?

    Thank you!
     
  2. jcsd
  3. Oct 28, 2011 #2
    How about calling this a 'hyperinvolution'?
     
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