# R is regular local rings of Krull dimension 2.Can we find any ideal of height 2 different from m? [closed]

Maybe it is too easy but I want to know that: If $R$ is regular local ring of Krull dimension $2$ and $m$ is the maximal ideal of $R$. (It means that height $m$ is $2$). Can we find any ideal of height $2$ different from $m$?

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## closed as off-topic by Todd Trimble♦Jul 23 '14 at 13:03

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Rolled back a pointless edit of an off-topic question – Yemon Choi Jul 26 '14 at 13:27

No. Since it is the unique maximal ideal, $\mathfrak m$ contains every prime ideal (its complement is the set of all units of $R$).