New terminological standard for superfunctions.

[JmsNxn]

Personally, I'm a fan of conjugate classes; but you're right; technically that's incorrect. I would usually always consider invertible (at least, locally) maps. So, in that frame work it's correct. I do like equivariant, but that seems a tad restrictive when we're just considering one variable. Superfunction already seems reserved. Change of base honestly sounds like the best one, if you could only make this a better term than just change of base. It also fits more at home with this forum, where it is an equivalent to what we typically call change of base.

I wonder if there is a term for conjugate classes in monoids? Or at least an equivalent for monoids?

I'll have to think about this. I think you're right, we need a good term for this.