The pasting constructions for orthomodular posets. (English) Zbl 0767.06009

The authors survey thoroughly and extend essentially an important technique used in the study of orthomodular structures — pasting. This technique is widely used to express various examples of orthomodular posets by means of so-called Greechie diagrams or to construct orthomodular posets with preassigned properties. The power of this technique is demonstrated by proving that every orthomodular poset can be embedded into an orthomodular poset with a given group of automorphisms - – this strengthens the result of M. Kallus and V. Trnková [Int. J. Theor. Phys. 26, 1-9 (1987; Zbl 0626.06013)].
Reviewer: J.Tkadlec (Praha)


06C15 Complemented lattices, orthocomplemented lattices and posets
03G12 Quantum logic
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)


Zbl 0626.06013
Full Text: DOI


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