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@article{918430, author = {Paseka, Jan and Kalina, Martin and Riečanová, Zdenka}, article_number = {5}, keywords = {effect algebra; sharp element; central element; block; sharply dominating; S-dominating; sharply orthocomplete}, language = {eng}, issn = {1210-2709}, journal = {Acta Polytechnica}, title = {Sharply Orthocomplete Effect Algebras}, url = {http://ctn.cvut.cz/ap/download.php?id=547}, volume = {50}, year = {2010} }
TY - JOUR ID - 918430 AU - Paseka, Jan - Kalina, Martin - Riečanová, Zdenka PY - 2010 TI - Sharply Orthocomplete Effect Algebras JF - Acta Polytechnica VL - 50 IS - 5 SP - 51-56 EP - 51-56 SN - 12102709 KW - effect algebra KW - sharp element KW - central element KW - block KW - sharply dominating KW - S-dominating KW - sharply orthocomplete UR - http://ctn.cvut.cz/ap/download.php?id=547 N2 - 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. ER -
PASEKA, Jan, Martin KALINA a Zdenka RIEČANOVÁ. Sharply Orthocomplete Effect Algebras. \textit{Acta Polytechnica}. 2010, roč.~50, č.~5, s.~51-56. ISSN~1210-2709.
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