Sharply Orthocomplete Effect  Algebras

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Authors	PASEKA Jan KALINA Martin RIEČANOVÁ Zdenka
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Acta Polytechnica
MU Faculty or unit	Faculty of Science
Citation
Web	http://ctn.cvut.cz/ap/download.php?id=547
Field	General mathematics
Keywords	effect algebra; sharp element; central element; block; sharply dominating; S-dominating; sharply orthocomplete
Description	Special types of effect algebras E called sharply dominating and S-dominating were introduced by S. Gudder. 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.
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