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View Diary: Women in Science: Emmy Noether 1882-1935 (22 comments)

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  •  Very nice diary--thanks. (9+ / 0-)

    I would add that there's also a type of ring in algebra called a Noetherian ring--its ideals behave in a particular way.

    Which leads me to the one very tiny quibble I have with the diary--it's "commutative" ring, not "communicative"--although the latter does sound a lot friendlier, doesn't it? :-)

    •  Thanks for catching that! (4+ / 0-)

      I, as I said, am not a physicist or a mathematician and I am not as sure of myself when I write about such, except perhaps what I have read about quantum and relativistic physics.  

      •  I migh add also that because of my ....... (4+ / 0-)

        home-schooling by parents who had a vague understanding of algebra I had no real idea of how to use algebraic formulae until I found myself (after a mediocre class in intermediate algebra taught by the wrestling coach at a junior college) in a class taught by Georgia Hart.  She opened my eyes to the wonders you could do with algebra and this allowed me to go on to calculus and trigonometry at the University of Arizona and ace them both.  It is amazing what a great teacher can do!  I am still not a great mathematician, but one of our daughters cleped out of advanced calculus before she enrolled at the University of North Carolina (brag, brag), so math is not a real problem for her.  So much for women not being able to do math.  The other daughter was more like me and in addition got on the wrong side of her algebra teacher after writing "95 Theses on why algebra stinks"  and submitting it to him! I thought that she had brought this on herself and so did not interfere - the only two "Ds" she ever got.  After a bit of accepting that she was going to have to go to the local university she spent a year here and then followed her boyfriend (later husband) to Durham, NC, enrolled in a local tech and then got herself into UNC and eventually into dental school, where she graduated near the top of her class.

    •  More than that (6+ / 0-)

      The following ideas are called Noetherian:

         Noetherian group, a group that satisfies the ascending chain condition on subgroups
          Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
          Noetherian module, a module that satisfies the ascending chain condition on submodules.
          Noetherian topological space, a topological space that satisfies the descending chain condition on closed sets.
          Noetherian induction, also called well-founded induction.
          Noetherian rewriting system, an abstract rewriting system that has no infinite chains
          Noetherian scheme
      In addition to abstract algebra and physics, this includes an important contribution to Computer Science.

      As Nathan Jacobson says in his Introduction to Noether's Collected Papers,

      The development of abstract algebra, which is one of the most distinctive innovations of twentieth century mathematics, is largely due to her – in published papers, in lectures, and in personal influence on her contemporaries.
      My first math course at Yale was taught by Jacobson.

      Ceterem censeo, gerrymandra delenda est

      by Mokurai on Tue Apr 09, 2013 at 09:27:55 AM PDT

      [ Parent ]

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