In Sections 4-101 through 4-401 [ 45-4-101 to 45-4-401 NMSA 1978]:
A. "local administration" means administration by a personal representative appointed in New Mexico pursuant to appointment proceedings described in Sections 3-101 through 3-1204 [ 45-3-101 to 45-3-1204 NMSA 1978];
B. "local personal representative" includes any personal representative appointed in New Mexico pursuant to appointment proceedings described in Sections 3-101 through 3-1204 [ 45-3-101 to 45-3-1204 NMSA 1978] and excludes foreign personal representatives who acquire the power of a local personal representative pursuant to Section 4-205 [ 45-4-205 NMSA 1978]; and
C. "resident creditor" means a person domiciled in or doing business in New Mexico, who is, or could be, a claimant against an estate of a nonresident decedent.