대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제10권2호
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- Pages.285-292
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
NOTE ON NONPATH-CONNECTED ORTHOMODULAR LATTICES
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.