Abstract
It is proved that an orthocomplemented posetPis an orthomodular lattice if and only if it admits a suitable defined set of order preserving maps. These maps are called projections. They are, in fact, Just the projections of the Baer *-semigroup associated with the orthomodular lattice.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. On orthocomplemented lattices satisfying the exchange axiom;Sasaki;J. Sci. Hiroshima Univ.,1954
2. Baer *-semigroups;Foulis;Proc. Amer. Math. Soc.,1960
3. A note on orthomodular lattices;Foulis;Portugal. Math.,1962
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