• 제목/요약/키워드: Nonpath-connected

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NOTE ON NONPATH-CONNECTED ORTHOMODULAR LATTICES

  • Park, Eun-Soon
    • 대한수학회논문집
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    • 제10권2호
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    • pp.285-292
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    • 1995
  • Some nonpath-connected orthomodular lattices are given : Every infinite direct product of othomodular lattices containing infinitely many non-Boolean factors is a nonpath-connected orthomodular lattice. The orthomodular lattice of all closed subspaces of an infinite dimensional Hilbert space is a nonpath-connected orthomodular lattice.

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A NOTE ON WEAKLY PATH-CONNECTED ORTHOMODULAR LATTICES

  • Park, Eun-Soon
    • 대한수학회논문집
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    • 제12권3호
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    • pp.513-519
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    • 1997
  • We show that each orthomodular lattice containing only atomic nonpath-connected blocks is a full subalgebra of an irreducible path-connected orthomodular lattice and there is a path-connected orthomodualr lattice L containing a weakly path-connected full subalgebra C(x) for some element x in L.

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