Corpus ID: 26619089

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}
}

Z. Riecanová

Published 2011

Computer Science, Mathematics

Kybernetika

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

View Paper

dml.cz

Save to Library

Create Alert

Cite

Launch Research Feed