대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제10권2호
  • /
  • Pages.285-292
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  • 1995
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

NOTE ON NONPATH-CONNECTED ORTHOMODULAR LATTICES

  • 발행 : 1995.04.01
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초록

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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