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arxiv: 1404.6263 · v2 · pith:4HI6GUZEnew · submitted 2014-04-24 · 🧮 math.RA

Effect algebras are the Eilenberg-Moore category for the Kalmbach monad

classification 🧮 math.RA
keywords monadcategorykalmbachalgebraseffecteilenberg-mooreposetsadjunction
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The Kalmbach monad is the monad that arises from the free-forgetful adjunction between bounded posets and orthomodular posets. We prove that the category of effect algebras is isomorphic to the Eilenberg-Moore category for the Kalmbach monad.

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