"The theory of rings and ideals was put on a more systematic and axiomatic basis by Emmy Noether, one of the few great women mathematicians... Many results on rings and ideals were already known... but by properly formulating the abstract notions she was able to subsume these results under the abstract theory. Thus she reexpressed Hilbert's basic theorem... as follows: A ring of polynomials in any number of variables over a ring of coeffcients that has an identity element and a finite basis, itself has a finite basis. In this reforumulation she made the theory of invariants a part of abstract algebra."
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InventorsPhysicists from GermanyWomen academics from GermanyEducators from Germany19th-century German mathematicians
Original Language: English
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Sources
Morris Kline, Mathematical Thought From Ancient to Modern Times (1972)
https://en.wikiquote.org/wiki/Emmy_Noether
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Emmy Noether
Amalie Emmy Noether (March 23, 1882 – April 14, 1935) was a German mathematician known for her landmark contributions to abstract algebra and theoretical physics.
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