Choosing between incompatible ideals

Will Brian, Paul B. Larson

Suppose $\mathcal{I}$ and $\mathcal{J}$ are proper ideals on some set $X$. We say that $\mathcal{I}$ and $\mathcal{J}$ are incompatible if $\mathcal{I}\cup \mathcal{J}$ does not generat…