# Completely prime right ideals

Recall that a right ideal $P$ of a prime Goldie ring $R$ is called completely prime right ideal if $aP\subseteq P$ and $ab\in P$ implies that $a\in P$ or $b\in P$ for all $a, b\in R$. Now let $P_1$, $P_2$ and $P_3$ be completely prime right ideals which are not comparable, Is $P_1\cap P_2\cap P_3$ proper subset of $P_1\cap P_2$ ?

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