as far as I knew you were allowed to be part of a prtnership, but if you were then trading under a name not given on BR order, you had to declare that you were BR to whoever you trade with/customers...
after annulment you can do as you wish. On the declaration of bankruptcy by one partner in a partnership the partnership should be dissolved and the bankrupt continues as a sole trader and must trade under the same trading name.
As long as the bankrupt is no longer trading the non bankrupt partner could continue as a sole trader using the partnerships trading name.