R.I. Gen. Laws § 33-11-2

When after qualification the original personal representative dies, resigns or is removed, without having fully administered the estate, and a successor personal representative is appointed, the succeeding administration shall be deemed to be a continuation of the preceding administration, and all limitations which could be claimed for or against the predecessor may be claimed for or against the successor; provided, however, that the time when there is no personal representative of the estate shall not be reckoned as part of the periods for the filing, or proof of claims, or limitations for bringing suits; and these periods, and generally the periods referred to where no provision to the contrary is made, shall be reckoned exclusive of this time.