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On Some Duality for Orthoposets

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Abstract

We start an investigation of von Neumannsemigroups. A connection between the variety ofR-generated von Neumann semigroups and the category oforthoposets with dense morphisms isestablished.

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REFERENCES

  • Borceux, F., Rosicky, J., and Van Den Bossche, G. (1989). Quantales and C*-algebras, Journal of the London Mathematical Society, 40, 398–404.

    Google Scholar 

  • Foulis, D. (1960). Baer*-semigroups, Proceedings of the American Mathematical Society, 11, 648–654.

    Google Scholar 

  • Gudder, S. P. (1972). Partial algebraic structures associated with orthomodular posets, Pacific Journal of Mathematics, 41(3), 717–730.

    Google Scholar 

  • Kalmbach, G. (1983). Orthomodular Lattices, Academic Press. New York.

    Google Scholar 

  • Lambek, J. (1995). Some lattice models of bilinear logic, Algebra Universalis, 34, 541–550.

    Google Scholar 

  • Mulvey, C. J., and Pelletier, J. W. (1992). A quantisation of the calculus of relations, Canadian Mathematical Society, Conference Proceeding, 13, 345–360.

    Google Scholar 

  • Paseka, J. (1996a). Simple quantales, preprint.

  • Paseka, J. (1996b). On some duality for posets, preprint.

  • Pelletier, J. W. and Rosický, J. (1996). Simple involutive quantales, preprint.

  • Román, L. (1994). Quantum logic and linear logic, International Journal of Theoretical Physics, 33, 1163–1172.

    Google Scholar 

  • Román, L., and Rumbos, B. (1991). Quantum logic revisited, Foundations of Physics, 21, 727–734.

    Google Scholar 

  • Rosenthal, K. J. (1995). Quantales and Their Applications, Pitman, London.

    Google Scholar 

  • Zapatrin, R. R. (1993). Generated semigroups for complete atomistic ortholattices, Semigroup Forum, 47, 36–47.

    Google Scholar 

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Paseka, J. On Some Duality for Orthoposets. International Journal of Theoretical Physics 37, 155–161 (1998). https://doi.org/10.1023/A:1026633827170

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  • DOI: https://doi.org/10.1023/A:1026633827170

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