Does anyone know the name of this type of map

  • Thread starter icantadd
  • Start date
  • #1
icantadd
114
0
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!
 

Answers and Replies

  • #2
Eynstone
336
0
How about calling this a 'hyperinvolution'?
 

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