Sharply Orthocomplete Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Acta Polytechnica |
| MU Faculty or unit | |
| 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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