The problem which he solved was whether, given an algebraically closed field O, there exist subfields K, properly contained in O, with O an algebraic extension of finite degree of its subfield K. In his 1924 attack on this problem Artin restricted himself to considering only fields which were an algebraic closure of the field of rationals .
Ang problema kung saan siya ay malulutas kung, bibigyan ng algebraically sarado field O, may umiiral subfields K, maayos na nakapaloob sa O, sa O ng isang algebraic extension ng wakas degree ng kanyang subfield K. Sa kanyang 1924 atake sa problemang ito Artin restricted kanyang sarili sa mga isasaalang-alang lamang ang mga patlang na kung saan ay isang algebraic pagwawakas ng patlang ng rationals.