The death of one partner having dissolved the partnership, and the survivor having by law succeeded to all legal rights of the firm, there remains a mutual interest belonging as well to the representative of the decedent as to the survivor. It is necessary that the partnership shall continue under these circumstances for at least a limited time to procure a settlement of its affairs. Continuation is restricted to this purpose.5 It is the duty of the surviving partners immediately upon the death of the partner to make a full, perfect, and complete inventory of the partnership property, together with a list of liabilities, so that the court and the executors or administrator may be advised as to the true value of the assets.