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find 3 different prime ideals in $Z[x]$, $I,J,K$ such that $I\subset J\subset K$.

have no clue where to start from.

  • 3
    Do you know any examples of prime ideals in $\mathbb{Z}[x]$? Can you find a chain of two ideals?2011-06-13
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    What is a maximal ideal in $\mathbb{Z}[X]$2011-06-13
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    for example $0\subseteq(2)\subseteq(2,x)$2011-06-13
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    Is there a chain of *four* prime ideals?2011-06-13
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    @Qiaochu: guess not, i'm new to this material..2011-06-13
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    @jspecter, I meant that question as food for thought for the OP.2011-06-13

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