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Grete Hermann
Grete (Henry-)Hermann (
* March 2, 1901 in Bremen, † April 15, 1984 in Bremen) was a German mathematician and philosopher noted for her work in mathematics, physics, philosophy and education. She is noted for her early philosophical work on the foundations of quantum mechanics, and is now known most of all for an early, but long-ignored refutation of a ''no-hidden-variable theorem'' by John von Neumann. The disputed theorem and the fact that Hermann's critique of this theorem remained nearly unknown for decades are considered to have had a strong influence on the development of quantum mechanics.
== Mathematics ==
Hermann studied mathematics at Göttingen under Emmy Noether, where she achieved her Ph.D. in 1926. Her doctoral thesis, ''"Die Frage der endlich vielen Schritte in der Theorie der Polynomideale"'' (in English ''"The Question of Finitely Many Steps in Polynomial Ideal Theory"''), published in ''Mathematische Annalen'', is the foundational paper for computer algebra. It first established the existence of algorithms (including complexity bounds) for many of the basic problems of abstract algebra, such as ideal membership for polynomial rings. Hermann's algorithm for primary decomposition is still in use now.
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