Archimedean atomic lattice effect algebras with complete lattice of sharp elements

We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice ef fect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Author: Riecanova, Z.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146083
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Archimedean atomic lattice effect algebras with complete lattice of sharp elements / Z. Riecanova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine