In Sections 4-101 through 4-401 N.M. Stat. Ann. § 45-4-101 to 45-4-401:

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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 N.M. Stat. Ann. § 45-3-101 to 45-3-1204;

B. “local personal representative” includes any personal representative appointed in New Mexico pursuant to appointment proceedings described in Sections 3-101 through 3-1204 N.M. Stat. Ann. § 45-3-101 to 45-3-1204 and excludes foreign personal representatives who acquire the power of a local personal representative pursuant to Section 4-205 [45-4-205 N.M. Stat. Ann.]; 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.