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Orthocomplete effect algebras
Authors:Gejza Jenca  Sylvia Pulmannová  
Institution:Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Ilkovicova 3, 812 19 Bratislava, Slovakia ; Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73 Bratislava, Slovakia
Abstract:We prove that for every orthocomplete effect algebra $E$ the center of $E$ forms a complete Boolean algebra. As a consequence, every orthocomplete atomic effect algebra is a direct product of irreducible ones.

Keywords:Effect algebra  central element  orthocomplete
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