N.Y. Pub. Health Law § 4411
The provisions of laws other than this article shall not be applicable to the certification of any health maintenance organization under this article except where so specified; provided, however, that no health maintenance organization shall include in its name the words "insurer", "casualty", "health and accident" or any words generally regarded as descriptive of the insurance function; provided further, that this provision shall not be construed as prohibiting the participation in a comprehensive health services plan of any corporation or other entity organized under any other law, to the extent that such corporations or entities are authorized to participate by law, including but not limited to the insurance law, business corporation law, education law, not-for-profit corporation law, or general municipal law; nor shall this section be considered to prevent the application of any other law to the entities comprising such plan.
N.Y. Pub. Health Law § 4411