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  text: 'A [3jz set] $S$ is _closed_ under an [3h7 operation] $f$ if, whenever $f$ is fed elements of $S$, it produces another element of $S$. For example, if $f$ is a trinary operation (i.e., a function of three arguments) then "$S$ is closed under $f$" means "if $x, y, z \\in S$ then $f(x, y, z) \\in S$".\n\nFor example, the set [integer $\\mathbb Z$] is closed under addition (because adding two integers yields another integer), but the set $\\mathbb Z_5 = \\{0, 1, 2, 3, 4, 5\\}$ is not (because $1 + 5$ is not in $\\mathbb Z_5$).',
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