The Noetherian Ring

Google Doodle for Emmy Noether

Emmy Noether's Birthday

Mar 23

Other Scottish Country Dances for this Day

Today's Musings, History & Folklore

~ My [algebraic] methods are really methods of working and thinking; this is why they have crept in everywhere anonymously.

~ Emmy Noether, 1935

If you are inclined to dance rings around someone or something, you may wish to give a nod to Emmy Noether (1882-1935). Emmy Noether was a German mathematician who made many important contributions to abstract algebra. including her namesake Noether's theorem, which is fundamental in mathematical physics. Now acknowledged and recognized in her own time by by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics and one of the leading mathematicians of her time, she developed theories of rings, fields, and algebras. In physics, Noether's theorem explains the connection between symmetry and conservation laws! 📐 📏 ➕ ➖ ✖️ ➗ ⚛️

The Noetherian Ring

Today marks the birthday of mathematician Emmy Noether (1882-1935).

While studying at the University of Erlangen as just one of two women at the school, Noether was allowed only to audit classes and needed to obtain permission from her professors in order to attend. After passing her graduation exam, she taught at the school’s Mathematical Institute for seven years without pay, frequently covering her father’s classes when he was out sick while publishing her own papers.

Google created a tribute doodle for her illustrating her contributions in the area of topology (the donut and coffee mug), ascending/descending chains, Noetherian rings, time, group theory, conservation of angular momentum, and continuous symmetries.

Noether was generous with her ideas and is credited with several lines of research published by other mathematicians, even in fields far removed from her main work, such as algebraic topology.

See below for the dance cribs, dedicated to the Erlangen Scottish Country Dancers of 1999-2000.

The dance dedication reads, "This dance was written in honor of the mathematician Emmy Noether (born March 23, 1882 in Erlangen - died April 14, 1935 in Bryn Mawr), who loved to dance. She received her doctorate from the Mathematics Institute of Uni-Erlangen in 1907. The dance was inspired by the term Noetherian Ring, which is a mathematical ring where every ascending chain of ideals terminates."

And for more about Emmy Noether and her tribute google doodle, click on her portrait.

The Noetherian Ring
The Noetherian Ring

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