"We may assume that Emmy Noether studied, like Weyl, all of Hilbert's papers, at least those which were concerned with algebra or arithmetic. In particular she would have read the paper ["Über die Theorie der algebraischen Formen" (1890)] where Hilbert proved that every ideal in a polynomial ring is finitely generated; in her famous later paper ["Idealtheorie in Ringbereichen" (1921)] she considered arbitrary rings with this property, which today are called "s". ...Hilbert's ' too was... studied; it was the standard text which every young mathematician of that time read... to learn algebraic number theory. ...Steinitz' great paper "Algebraische Theorie der Körper"...marks the start of abstract field theory... [and] is often mentioned in her later publications, as the basis for her abstract viewpoint of algebra."