As far as I know, "married" (man) is женатый (short form женат) and "married" (woman) is замужняя (short form замужем).
Likewise, the verb "to marry" with a man as the subject is жениться/пожениться and with a woman as the subject, it becomes выходить замуж/выйти замуж.
But, is there a generic word for both genders? How can I say "they got married"?
I've heard of "Они поженились", but I'm not sure.
maritalare themselves related to husband
maritusin Latin, so even English in this respect isn't neutral albeit only etymologically