Archimedean atomic lattice effect algebras with complete lattice of sharp elements

• 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
• 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.

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...