States do have rules against business entity names that mislead about regulated professions. California, for example, prohibits names that suggest an entity is a "professional corporation", a particular type of entity limited to regulated professions, when it is not. But I would be very surprised to learn that "Law" alone has been relegated to lawyer practice in any state of the union. Presumably so would organizations like Bloomberg Law, Westlaw, FindLaw, Free Law Project, Groklaw, etc.

Lawyers don't own law. The law belongs to the public. So says this active attorney member of the State Bar of California, and I'll stand on any law firm's conference table in my boots and say that.