대한수학회지 (Journal of the Korean Mathematical Society)
- 제33권2호
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- Pages.217-225
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
A NOTE ON PATH-CONNECTED ORTHOMODULAR LATTICES
초록
An orthomodular lattice (abbreviated by OML) is an ortholattice L which satisfies the orthomodular law: if x $\leq$ y, then $y = x \vee (x' \wedge y)$ [5]. A Boolean algebra B is an ortholattice satisfying the distributive law : $x \vee (g \wedge z) = (x \vee y) \wedge (x \vee z) \forall x, y, z \in B$.