%0 Journal Article
%T Sharply Orthocomplete Effect Algebras
%A Martin Kalina
%A Jan Paseka
%A Zdenka Rie£żanov¨˘
%J Mathematics
%D 2010
%I arXiv
%X Special types of effect algebras $E$ called sharply dominating and S-dominating were introduced by S. Gudder in \cite{gudder1,gudder2}. 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.
%U http://arxiv.org/abs/1005.3678v1