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

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.

preprint2015arXivOpen access
Gejza Jenča
math.RA
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Gejza Jenča

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