A. An appointment of a personal representative terminates as provided in section 14-3933, one year after the filing of a closing statement.
B. An order closing an estate as provided in section 14-3931 or 14-3932 terminates an appointment of a personal representative.
C. A personal representative may resign his position by filing a written statement of resignation with the registrar after he has given at least fifteen days written notice to the persons known to be interested in the estate.
If no one applies or petitions for appointment of a successor representative within the time indicated in the notice, the filed statement of resignation is ineffective as a termination of appointment and in any event is effective only upon the appointment and qualification of a successor representative and delivery of the assets to him.