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In my communication theory work I derived a property that is essentially \begin{align} f(x)\cdot f(y) = f(x-y) \cdot A^N \end{align} where $A^N$ is some quantity from the technical context that is obviously preventing $f$ from being a homomorphism.

What would be a good term to call this property of $f$? I could only come up with the unsatisfying 'homomorphism-like property'.

GDumphart
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    Pseudo-homomorphism? Or you could take the approach of the category theory people and call it a scalomorphism or some other kind of mumblemorphism. – MJD Jan 30 '14 at 14:39
  • Thanks. Pseudo-homomorphism sounds good, I'll stick with that. Scalomorphism seems to be inappropriate and an extremely uncommon term (Google). – GDumphart Jan 30 '14 at 14:56
  • That's because I just made it up. The category theory approach is to invent a new term for each kind of morphism. – MJD Jan 30 '14 at 15:07
  • If you write $g=A^{-N}f$, then $g(x)g(y) = f(x)f(y)A^{-2N}=f(x-y)A^NA^{-2N}=g(x-y)$. So really, $f$ is a rescaling of a homomorphism. – Calvin Khor Sep 23 '15 at 01:09

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