Service tax registration in proprietorship name.

Whether service tax registration number is issued in the name of Proprietory business name ( not in the name of proprietor).

If registration is issued in the name of proprietor, does it make any difference for servise receiver to claim tax credit for service tax charged if bill is in the name of business not in the name of proprietor? ( Service tax no allotted in the name of proprietor mentioned on the bill given.)

Kindly guide.