Lattice effect algebras densely embeddable into complete ones
@article{Riecanov2011LatticeEA, title={Lattice effect algebras densely embeddable into complete ones}, author={Z. Riecanov{\'a}}, journal={Kybernetika}, year={2011}, volume={47}, pages={100-109} }
An effect algebraic partial binary operation ⊕ defined on the underlying set E uniquely introduces partial order, but not conversely. We show that if on a MacNeille completion E of E there exists an effect algebraic partial binary operation ⊕ then ⊕ need not be an extension of ⊕. Moreover, for an Archimedean atomic lattice effect algebra E we give a necessary and sufficient condition for that ⊕ existing on E is an extension of ⊕ defined on E. Further we show that such ⊕ extending ⊕ exists at… CONTINUE READING
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Mac Neille completion of centers and centers of Mac Neille completions of lattice effect algebras
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