Pseudo effect algebras are algebras over bounded posets
Copyright policy )Pseudo effect algebras are algebras over bounded posets
We prove that there is a monadic adjunction between the category of bounded posets and the category of pseudo effect algebras.
Complemented lattices, orthocomplemented lattices and posets, Rings and Algebras (math.RA), pseudo D-posets, FOS: Mathematics, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), pseudo effect algebras, Mathematics - Rings and Algebras, Preorders, orders, domains and lattices (viewed as categories), Quantum logic, Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
Complemented lattices, orthocomplemented lattices and posets, Rings and Algebras (math.RA), pseudo D-posets, FOS: Mathematics, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), pseudo effect algebras, Mathematics - Rings and Algebras, Preorders, orders, domains and lattices (viewed as categories), Quantum logic, Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
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