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Math Help - Noetherian Rings - Dummit and Foote - Chapter 15 - Exercise 2a

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    Super Member Bernhard's Avatar
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    Noetherian Rings - Dummit and Foote - Chapter 15 - Exercise 2a

    In Dummit and Foote Chapter 15 Exercise 2(a) on page 668 reads as follows:

    Show that the following ring is not Noetherian by exhibiting an explicit infinite increasing chain of ideals:

    - the ring of continuous real valued functions on [0, 1]


    I would appreciate help on this exercise.

    Peter
    Last edited by Bernhard; August 23rd 2013 at 10:27 PM.
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