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Morphisms and pasting of orthoalgebras. (English) Zbl 1057.81005
The Greechie’s constructions for pasting orthomodular lattices are extended for orthoalgebras. The author first shows how orthoalgebra monomorphisms and epimorphisms ought to be defined. Then she shows that the pasting of any two disjoint orthoalgebras along corresponding sections is an orthoalgebra. This orthoalgebra is an orthomodular poset if it is the pasting of orthomodular posets.

MSC:
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
06C15 Complemented lattices, orthocomplemented lattices and posets
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References:
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