(a) If a decedent was a partner in a general partnership and the partnership agreement or articles of partnership provide that, on the death of a partner, the partner's personal representative is entitled to that partner's place in the partnership, a personal representative accordingly contracting to enter the partnership under the partnership agreement or articles of partnership is, to the extent allowed by law, liable to a third person only to the extent of:
(1) the deceased partner's capital in the partnership; and
(2) the estate's assets held by the representative.
(b) This section does not exonerate a personal representative from liability for the representative's negligence.