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May 11, 2016 at 0:07 comment added Michał Masny When you do $\Bbb B[M]$, you get the "finitary power semiring" of $M$, that is the set of all finite subsets of $M$ with the set-theoretic union as the additive operation and $AB=\{ab|a\in A,b\in B\}$ as the multiplication. $\Bbb B$ means $(\{0,1\}, \vee,\wedge)$ here.
Feb 21, 2013 at 19:30 comment added Mike Battaglia Thanks for correcting the error, Noah, I hadn't realized that. Also, aha, never thought this could be viewed as a simple monoid generalization of the group ring! Thanks for that.
Feb 21, 2013 at 19:29 vote accept Mike Battaglia
Feb 21, 2013 at 16:36 comment added Benjamin Steinberg I think it is more or less always called by this name except for by people who say "rig" instead of semiring.
Feb 21, 2013 at 13:43 history answered Noah Stein CC BY-SA 3.0