N.M. Stat. § 61-28B-19
Business names; prohibitions.
A. No person engaged in practice shall use in a business name the words
"company" or "and company" or a similar designation or any abbreviations thereof
unless the person is a firm pursuant to the 1999 Public Accountancy Act and has more
than one partner, shareholder or member and the business name contains the name of
at least one current or former partner, shareholder or member. A business name may
contain only the name or initials of a present or former partner, shareholder or member
and the words "and company" or "company" or a similar designation or any abbreviation
thereof.
B. Nothing contained in this section shall apply to, affect or limit the right of the
remaining partner, shareholder or member or added partners, shareholders or members
in the continuous use of a business name adopted before the enactment of the 1999
Public Accountancy Act, even though the person whose name is included in the
business name is no longer a partner, shareholder or member.