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Coprime packedness and set theoretic complete intersections of ideals in polynomial rings
A ring $R$ is said to be coprimely packed if whenever $I$ is an ideal of $R$ and $S$ is a set of maximal ideals of $R$ with $I\subseteq \bigcup \{M\in S\}$, then $I\subseteq M$ for some $M\in S$. Let $R$ be a ring and $R\langle X\rangle$ be the localization …