Abstract
We show that Boolean effect algebras may have proper sub-effect algebras and conversely. Properties of lattice effect algebras with two blocks are shown. One condition of the completness of effect algebras is given. We also show that a lattice effect algebra associated to an orthomodular lattice can be embedded into a complete effect algebra iff the orthomodular lattice can be embedded into a complete orthomodular lattice.
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Riečanová, Z. Sub-effect algebras and Boolean sub-effect algebras. Soft Computing 5, 400–403 (2001). https://doi.org/10.1007/s005000100143
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DOI: https://doi.org/10.1007/s005000100143