Counterexamples in minimally generated Boolean algebras
Sabine Koppelberg (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Sabine Koppelberg (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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J. Halperin (1964)
Fundamenta Mathematicae
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Leszek Pacholski, Jan Waszkiewicz (1972)
Fundamenta Mathematicae
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J. Łoś, Czesław Ryll-Nardzewski (1955)
Fundamenta Mathematicae
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Josef Tkadlec (1991)
Colloquium Mathematicae
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We fix a Boolean subalgebra B of an orthomodular poset P and study the mappings s:P → [0,1] which respect the ordering and the orthocomplementation in P and which are additive on B. We call such functions B-states on P. We first show that every P possesses "enough" two-valued B-states. This improves the main result in [13], where B is the centre of P. Moreover, it allows us to construct a closure-space representation of orthomodular lattices. We do this in the third section. This result...
K. P. Bhaskara Rao, M. Bhaskara Rao (1979)
Czechoslovak Mathematical Journal
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J. Łoś (1957)
Fundamenta Mathematicae
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