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 reciprocity law. this pleased her immensely. he also sent her a mathematical riddle, which he called the "m-riddle of syllables". she solved it immediately, but the riddle has been lost.