PASEKA, Jan, Martin KALINA and Zdenka RIEČANOVÁ. Sharply Orthocomplete Effect Algebras. Acta Polytechnica. 2010, vol. 50, No 5, p. 51-56. ISSN 1210-2709.
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Basic information
Original name Sharply Orthocomplete Effect Algebras
Authors PASEKA, Jan (203 Czech Republic, guarantor, belonging to the institution), Martin KALINA (703 Slovakia) and Zdenka RIEČANOVÁ (703 Slovakia).
Edition Acta Polytechnica, 2010, 1210-2709.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/10:00046565
Organization unit Faculty of Science
Keywords in English effect algebra; sharp element; central element; block; sharply dominating; S-dominating; sharply orthocomplete
Changed by Changed by: prof. RNDr. Jan Paseka, CSc., učo 1197. Changed: 10/4/2012 08:28.
Abstract
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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MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
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