N.M. Stat. § 45-3-901
Successors' rights if no administration.
In the absence of administration, the heirs and devisees are entitled to the estate in
accordance with the terms of a probated will or the laws of intestate succession.
Devisees may establish title by the probated will to devised property. Persons entitled to
property by the family allowance, personal property allowance or intestacy may
establish title thereto by proof of the decedent's ownership, his death and their
relationship to the decedent. Successors take subject to all charges incident to
adminstration [administration], including the claims of creditors and allowances of
surviving spouse and dependent children, and subject to the rights of others resulting
from abatement, retainer, advancement and ademption.