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Article

Title: Categories of orthomodular posets (English)
Author: Pták, Pavel
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 35
Issue: 1
Year: 1985
Pages: 59-65
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Category: math
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MSC: 06A06
MSC: 06B25
MSC: 06C15
idZBL: Zbl 0583.06005
idMR: MR783963
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Date available: 2009-09-25T09:42:51Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130421
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Reference: [2] BRABEC J., PTÁK P.: On compatibility in quantum logics.Foundation of Physics, 12, 1982, 207-212. MR 0659779
Reference: [3] GREECHIE R.: Orthomodular lattices admitting no states.Journ. Comb. Theory 10, 1971, 119-132. Zbl 0219.06007, MR 0274355
Reference: [4] GUDDER S.: Spectral methods for a generalized probability theory.Trans. Amer. Math. Soc. 119, 1965, 420-422. Zbl 0161.46105, MR 0183657
Reference: [5] GUDDER S.: Stochastic Methods in Quantum Mechanics.Elsevier North Holland, Inc., 1979. Zbl 0439.46047, MR 0543489
Reference: [6] KLUKOWSKI J.: On Boolean orthomodular posets.Demonstratio Mathematica VIII, 1975, 405-422. Zbl 0312.06007, MR 0369188
Reference: [7] MAEDA F., MAEDA S.: Theory of Symmetric Lattices.Berlin and New York, Springer-Verlag, 1970. Zbl 0219.06002, MR 0282889
Reference: [8] MAC LANE S.: Categories for the Working Mathematician.Graduate Texts in Mathematics, 5. Springer-Verlag, New York, Heidelberg, Berlin, 1971. Zbl 0232.18001, MR 0354798
Reference: [9] MACZYNSKI M., TRACZYK T.: A characterization of orthomodular partially ordered sets admitting a full set of states.Bull. Acad. Polon. Sci. Ser. Math. Astronom. Phys. 21, 1973, 3-8. Zbl 0265.06003, MR 0314708
Reference: [10] MAŇASOVÁ V., PTÁK P.: On states on the product of logics.Int. J. Theor. Phys. 20, 1981, 451-456. Zbl 0482.03030, MR 0632598
Reference: [11] PTÁK P.: Weak dispersion-free states and the hidden variables hypothesis.J. Math. Phys. 24, 1983, 839-841. MR 0700618
Reference: [12] PULMANNOVÁ S.: Compatibility and partial compatibility in quantum logics.Ann. Inst. Henri Poincare 34, 1980, 391-403. MR 0625170
Reference: [13] VARADARAJAN V.: Geometry of Quantum Theory.1. Princeton, New Jersey, 1968. Zbl 0155.56802
Reference: [14] ZIERLER N., SCHLESSINGER M.: Boolean embeddings of orthomodular sets and quantum logics.Duke J. Math. 32, 1965, 251-262. MR 0175520
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