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===Recognition=== In 1932, Emmy Noether and [[Emil Artin]] received the [[Ackermann–Teubner Memorial Award]] for their contributions to mathematics.<ref name="Mactutor Biography" /> The prize included a monetary reward of {{Reichsmark|500|link=yes}} and was seen as a long-overdue official recognition of her considerable work in the field. Nevertheless, her colleagues expressed frustration at the fact that she was not elected to the [[Göttingen Academy of Sciences|Göttingen ''Gesellschaft der Wissenschaften'']] (academy of sciences) and was never promoted to the position of ''[[Ordentlicher Professor]]''{{Sfn|Dick|1981|pp=72–73}}{{Sfn |Kimberling|1981|pp=26–27}} (full professor).{{Sfn|Dick|1981|p=188}} Noether's colleagues celebrated her fiftieth birthday, in 1932, in typical mathematicians' style. [[Helmut Hasse]] dedicated an article to her in the ''[[Mathematische Annalen]]'', wherein he confirmed her suspicion that some aspects of [[noncommutative algebra]] are simpler than those of [[commutative algebra]], by proving a noncommutative [[quadratic reciprocity|reciprocity law]].{{Sfn|Hasse|1933|p=731}} This pleased her immensely. He also sent her a mathematical riddle, which he called the "m<sub>μν</sub>-riddle of syllables". She solved it immediately, but the riddle has been lost.{{Sfn|Dick|1981|pp=72–73}}{{Sfn|Kimberling|1981|pp=26–27}} [[File:Internationaler Mathematikerkongress Zürich 1932 - ETH BIB Portr 10680-FL (Johannes Meiner).jpg|thumb|Noether visited [[Zürich]] in 1932 to deliver a [[list of International Congresses of Mathematicians Plenary and Invited Speakers|plenary address at the International Congress of Mathematicians]].]] In September of the same year, Noether delivered a plenary address (''großer Vortrag'') on "Hyper-complex systems in their relations to commutative algebra and to number theory" at the [[International Congress of Mathematicians]] in [[Zürich]]. The congress was attended by 800 people, including Noether's colleagues [[Hermann Weyl]], [[Edmund Landau]], and [[Wolfgang Krull]]. There were 420 official participants and twenty-one plenary addresses presented. Apparently, Noether's prominent speaking position was a recognition of the importance of her contributions to mathematics. The 1932 congress is sometimes described as the high point of her career.{{sfn|Kimberling|1981|pp=26–27}}{{sfn|Dick|1981|pp=74–75}}
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