Sharply Orthocomplete Effect Algebras

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Special types of effect algebras E called sharply dominating and S-dominating were introduced by S. Gudder in 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.