Whenever a foreign corporation which is authorized to transact business in this state changes its name to one under which a certificate of authority would not be granted to it on application therefor, the certificate of authority of the corporation shall be suspended and it shall not therafter [thereafter] transact any business in this state until it has changed its name to a name which is available to it under the laws of this state, or has otherwise complied with the provisions of the Business Corporation Act.
NMS § 53-17-4