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

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  •  Noetherian rings (6+ / 0-)

    Well, it would probably take up a lot of space to make adequate definitions. The concept of Noetherian rings is fairly fundamental in abstract algebra.
    It is probably easiest to give an example of a non-Noetherian ring: the ring of all algebraic integers. This contains all the nth roots of 2: square root of 2, cube root of 2, 4th root of 2, etc. There is an ascending chain of subsets called ideals: numbers divisible by the square root of 2, by the cube root 2, etc. This chain is infinite. If the ring of algebraic integers were Noetherian, the chain would have to be finite.

    Censorship is rogue government.

    by scott5js on Tue Apr 09, 2013 at 06:09:31 AM PDT

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