nLab
Boolean rig

As a Boolean ring is a ring in which multiplication is idempotent, so a Boolean rig is a rig in which multiplication is idempotent.

We need to add some more axioms here, but I'm not sure what they are. The ‘Boolean semirings’ in the literature (by which I mean, what Google found for me that wasn't cloaked) are something much more complicated than what I'm looking for here.

Revised on June 24, 2009 22:22:34 by Toby Bartels (71.104.230.172)