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Title: On the tensor product of a Boolean algebra and an orthoalgebra (English)
Author: Foulis, D.
Author: Pták, P.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 45
Issue: 1
Year: 1995
Pages: 117-126
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Category: math
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MSC: 03G12
MSC: 06C15
MSC: 08A55
MSC: 81P10
idZBL: Zbl 0834.03025
idMR: MR1314534
DOI: 10.21136/CMJ.1995.128501
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Date available: 2009-09-24T09:45:03Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128501
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Reference: [1] C. Drossos: Ptak sums and Boolean powers.The Comenius University of Bratislava Mimeographed Notes, 1989.
Reference: [2] D. Foulis: Coupled physical systems.Foundations of Physics 7 (1989), 905–922. MR 1013911, 10.1007/BF01889305
Reference: [3] D. Foulis and M. K. Bennett: Tensor products of orthoalgebras.Order 10 (1993), 271–282. MR 1267193, 10.1007/BF01110548
Reference: [4] D. Foulis, R. Greechie and G. Rüttimann: Filters and supports in orthoalgebras.International J. of Theoretical Physics 31(5) (1992), 789–807. MR 1162623, 10.1007/BF00678545
Reference: [5] D. Foulis, C. Randall: Tensor product of manuals. An alternative to tensor product of quantum logics.Notices Amer. Math. Soc. 26(A) (1979), 558.
Reference: [6] A. Golfin: Representations and Products of Lattices, Ph. D. Thesis.University of Massachusetts, Amherst, 1987.
Reference: [7] V. Janiš: Notes on sums of Boolean algebras and logics.Demonstratio Mathematica 23(3) (1990), 699–708. MR 1101530, 10.1515/dema-1990-0317
Reference: [8] V. Janiš and Z. Riečanová: Completeness in sums of Boolean algebras and logics.International J. of Theoretical Physics 31(9) (1992), 1689–1692. MR 1183518, 10.1007/BF00671781
Reference: [9] G. Kalmbach: Orthomodular Lattices.Academic Press, New York, 1983. Zbl 0528.06012, MR 0716496
Reference: [10] P. Pták: Summing of Boolean algebras and logics.Demonstratio Mathematica 19 (1986), 349–357. MR 0895008, 10.1515/dema-1986-0210
Reference: [11] P. Pták: Logics with given centres and state spaces.Proc. Amer. Math. Soc. 88 (1983), 106–109. MR 0691287, 10.1090/S0002-9939-1983-0691287-9
Reference: [12] S. Pulmannová: Tensor product of quantum logics.J. Math. Phys. 26 (1985), 1–5. MR 0776118, 10.1063/1.526784
Reference: [13] C. Randall and D. Foulis: New definitions and theorems.University of Massachusetts Mimeographed Notes, Amherst, 1979.
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