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A Boolean algebra is a commutative ring satisfying x²=x for every x, and sometimes required to have a unit; they have characteristic 2. For coding theory (notably dealing with subsets linear subspaces of spaces of Boolean functions), rather use the [coding-theory] or [linear-algebra] tag.

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Ideals on $\mathbb N$ and large sets that have small intersection

Another class of examples comes from the ideal of $m$-measure zero sets where $m$ is a finitely additive atomless probability measure on the power set of integers. Such measures can be constructed usi …
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