I am having trouble with the hyphenation of a project I am writing. More precisely it will not hyphenate the word $\ast$-homomorphism. I have tried with \hyphenation{ho-mo-mor-phism}, but to no luck. Of course I suspect that it is the $\ast$- which courses the problem, but why? and how do I make the word hyphenate?
Here is an example where my problem occurs:
\documentclass[a4paper,10pt,draft]{article}
\hyphenation{ho-mo-mor-phism}
\begin{document}
I would really much like to have the---frequently
appearing---word $\ast$-homomorphism hyphenated.
\end{document}

