Author： Wilce A.
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.39, Iss.3, 2000-03, pp. : 969-974
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Abstract
Let L be an orthoalgebra, and let ??(L) be the complete lattice of filters on L. We describe a natural mapping Δ: L × ??(L) → ??(L) that specializes to the familiar Sasaki map in the case that L is an orthomodular lattice. The mapping Δ is related to the generalized Sasaki map of Bennett and Foulis. The two mappings are essentially the same if L is an orthomodular poset, but can be quite different even for rather well-behaved orthoalgebras.
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