Sharply Orthocomplete Effect Algebras
DOI:
https://doi.org/10.14311/1267Keywords:
effect algebra, sharp element, central element, block, sharply dominating, S-dominating, sharply orthocompleteAbstract
Special types of effect algebras E called sharply dominating and S-dominating were introduced by S. Gudder in [7, 8]. We prove statements about connections between sharp orthocompleteness, sharp dominancy and completeness of E. Namely we prove that in every sharply orthocomplete S-dominating effect algebra E the set of sharp elements and the center of E are complete lattices bifull in E. If an Archimedean atomic lattice effect algebra E is sharply orthocomplete then it is complete.Downloads
Download data is not yet available.