A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES

DOI QR코드

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Park, Eunsoon;Kim, Mi-Mi;Chung, Jin-Young

  • 발행 : 2003.04.01

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.

키워드

orthomodular lattics;symmetric difference;commutator;Bollean algebra

참고문헌

  1. Proc. Lattice Theory Conf. pp.397-408 Some Remarks on Free Orthomodular Lattices G.Bruns;G.Kalmbach;J.Schmidt(ed.)
  2. Orthomodular Lattices G.kalmbach
  3. Order 1 v.1 pp.277-284 Commutator-finite Orthomodular Lattices R.Greechie;L.Herman https://doi.org/10.1007/BF00383604
  4. Basic Algebra Ⅰ N.Jacobson
  5. Orthomodular Lattices L.Beran

피인용 문헌

  1. 1. Orthocomplemented Posets with a Symmetric Difference vol.26, pp.1, 2009, doi:10.4134/CKMS.2003.18.2.207
  2. 2. On identities in orthocomplemented difference lattices vol.60, pp.5, 2010, doi:10.4134/CKMS.2003.18.2.207
  3. 3. States On Orthocomplemented Difference Posets (Extensions) vol.106, pp.8, 2016, doi:10.4134/CKMS.2003.18.2.207