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Suppose we have a function $f:X^n\to S$. And suppose we know that $f$ has the property that it is invariant under permuting the parametera. E.g. if $n=2$, then $f(x,y)=f(y,x)$ for any $x,y$.

Is there a name for this property?

user56834
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    I remember terms like cyclic or symmetric, but if $S=X$, and you intend $f$ to be a 'fundamental' operation, then "abelian" or "commutative" should work. – ajotatxe May 29 '19 at 14:26
  • Related (but only covering $n=2$): https://math.stackexchange.com/questions/899113/is-there-a-name-for-the-property-of-a-function-f-such-that-fx-y-fy-x – Arnaud D. May 30 '19 at 09:50

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Symmetric function is a commonly used name for this property. The wikipedia page is here.

postmortes
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Jay
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