Sasaki projections on orthocomplemented posets
- 17 April 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 1 (3) , 319-324
- https://doi.org/10.1017/s0004972700042192
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.Keywords
This publication has 2 references indexed in Scilit:
- Baer *-SemigroupsPublished by Springer Nature ,1975
- Orthocomplemented Lattices Satisfying the Exchange AxiomHiroshima Mathematical Journal, 1954