대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권2호
  • /
  • Pages.207-214
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  • 2003
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES

  • 발행 : 2003.04.01
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초록

There exist two distinct Symmetric differences in a non Boolean orthomodular lattics. Let L be an orthomodular lattice. Then L is a Boolean algebra if and only if one symmetric difference is equal to the other. An orthomodular lattice L is Boolean if and only if one of two symmetric differences of L is associative.

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참고문헌

  1. Orthomodular Lattices L.Beran
  2. Proc. Lattice Theory Conf. Some Remarks on Free Orthomodular Lattices G.Bruns;G.Kalmbach;J.Schmidt(ed.)
  3. Order 1 v.1 Commutator-finite Orthomodular Lattices R.Greechie;L.Herman https://doi.org/10.1007/BF00383604
  4. Basic Algebra Ⅰ N.Jacobson
  5. Orthomodular Lattices G.kalmbach

피인용 문헌

  1. Orthocomplemented Posets with a Symmetric Difference vol.26, pp.1, 2009, https://doi.org/10.1007/s11083-008-9102-8
  2. On identities in orthocomplemented difference lattices vol.60, pp.5, 2010, https://doi.org/10.2478/s12175-010-0033-7
  3. States On Orthocomplemented Difference Posets (Extensions) vol.106, pp.8, 2016, https://doi.org/10.1007/s11005-016-0862-6