Was it cosigned, if not no. Make sure to give a suicide note that tells them to NOT ACKNOWLEDGE THE DEBT. If you do that, there's nothing the debt company can do.
Also im pretty sure this belongs in offtopic.. anyway.
Also you can escape debt by moving to another country.
Depends on how much money you have (US response here) If a lot of money is involved, there will be a legal fight. If the deceased does not have much money, there will not be much fight. Just a need to provide debtors with a death certificate of the deceased. Most debtors will just forgive the debt. Not worth the cost of a legal battle.
In the US at least, debtors get tax relief from unpaid accounts. If they play the tax loopholes, they will get their money back and then some.
Unless you are rich. Then they will sue your estate.
One good thing about being poor. :)