section_path: University of Göttingen/Noether school
section_name: Noether school
paragraph_text: Noether school
  
  Noether developed a close circle of mathematicians beyond just her doctoral students who shared Noether's approach to abstract algebra and contributed to the field's development, a group often referred to as the Noether school. An example of this is her close work with Wolfgang Krull, who greatly advanced commutative algebra with his Hauptidealsatz and his dimension theory for commutative rings. Another is Gottfried Köthe, who contributed to the development of the theory of hypercomplex quantities using Noether and Krull's methods.
  
  In addition to her mathematical insight, Noether was respected for her consideration of others. Although she sometimes acted rudely toward those who disagreed with her, she nevertheless gained a reputation for constant helpfulness and patient guidance of new students. Her loyalty to mathematical precision caused one colleague to name her "a severe critic", but she combined this demand for accuracy with a nurturing attitude. In Noether's obituary, Van der Waerden described her as
  
  Completely unegotistical and free of vanity, she never claimed anything for herself, but promoted the works of her students above all.
  
  Noether showed a devotion to her subject and her students that extended beyond the academic day. Once, when the building was closed for a state holiday, she gathered the class on the steps outside, led them through the woods, and lectured at a local coffee house. Later, after Nazi Germany dismissed her from teaching, she invited students into her home to discuss their plans for the future and mathematical concepts.