N.M. Stat. § 48-2-11
[Construction with knowledge of owner subjects land to
lien; notice by owner of nonresponsibility.]
Every building or other improvement mentioned in the second section [48-2-2 NMSA
1978] of this article, constructed upon any lands with the knowledge of the owner or the
person having or claiming any interest therein, shall be held to have been constructed at
the instance of such owner or person having or claiming any interest therein, and the
interest owned or claimed shall be subject to any lien filed in accordance with the
provisions of this article, unless such owner or person having or claiming an interest
therein shall, within three days after he shall have obtained knowledge of the
construction, alteration or repair, or the intended construction, alteration or repair, give
notice that he will not be responsible for the same, by posting a notice in writing to the
effect, in some conspicuous place upon said land, or upon the building or other
improvement situated thereon.