regex - How to make sed do non-greedy match?

I cannot seem to figure out how to come up with the correct regex for my bash command line.
Here's what I am doing:

echo "XML-Xerces-2.7.0-0.tar.gz" | sed -e's/^\(.*\)-[0-9].*/\1/g'

This gives me the output of ...

XML-Xerces-2.7.0

... but want I need is the output to be ...

XML-Xerces

... I guess I could do this ...

 echo "XML-Xerces-2.7.0-0.tar.gz" | sed -e's/^\(.*\)-[0-9].*/\1/g' | sed -e's/^\(.*\)-[0-9].*/\1/g'

... but I would like to know how understand sed regex a little better.

Update:

I tried this ...

echo "XML-Xerces-2.7.0-0.tar.gz" | sed -e's/^\([^-]*\)-[0-9].*/\1/g'

... as suggest but that outputs XML-Xerces-2.7.0-0.tar.gz