As used in this article:

    (a) "Local administration" means administration by a personal representative appointed in this state under an appointment proceeding described in article III.

    (b) "Local personal representative" includes a personal representative appointed in this state under an appointment proceeding described in article III and excludes a foreign personal representative who acquires the power of a local personal representative under section 4203.

    (c) "Resident creditor" means a person domiciled or doing business in this state that is, or could be, a claimant against a nonresident decedent's estate.