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math.LO2026
Simultaneous extensions of states on quantum logics
Dominika Burešová, Pavel Pták, Jan Ševic
Suppose that L is a quantum logic (= an orthomodular poset) and A, B are Boolean subalgebras of L. Suppose further that s1(resp. s2) is a state on A (resp. on B). We ask when both…
math.LO2022
On locally finite orthomodular lattices
Dominika Burešová, Pavel Pták
Let us denote by LF the class of all orthomodular lattices (OMLs) that are locally finite (i.e., L in LF provided each finite subset of L generates in L a finite subOML). We first…