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Questions of the kind "What's the name for a X that satisfies property Y?"

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What is the proper name for this "tersest path" problem in Infinite Craft?

I am embarrassed not to have recognized this sooner, but a 'canonical' structure that models Infinite Craft is the Commutative Magma — definitionally, a set $S$ with a binary operation $\oplus$ that i …
Steven Stadnicki's user avatar
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Is there a name for this condition on a monoid?

Suppose we have a commutative monoid ${\mathcal M}=\langle M,\otimes\rangle$ such that the usual divisibility relation $\leq_\otimes$ given by $a\leq_\otimes b\Leftrightarrow \exists c(a\otimes c=b)$ …