"Employee" as used in this subdivision shall mean any person employed for hire by an employer in any lawful employment, but shall not include persons engaged in domestic service in the home of the employer, or in agricultural service, or in temporary or seasonal employment, or employees of any social club, fraternal, charitable, educational, religious, scientific or literary association, no part of the net earnings of which inures to the benefit of any private individual.
"Employer" shall include any person acting in the interest of an employer directly or indirectly.
"Employment" means any employment under contract of hire, expressed or implied, written or oral, including all contracts entered into by helpers and assistants of employees, whether paid by employer or employee, if employed with the knowledge, actual or constructive, of the employer in which all or the greater part of the work is to be performed within the state.