Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
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| Creator |
Riecanová, Z.
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| Description |
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 effect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists a faithful state on E. Further, if an atomic lattice effect algebra is densely embeddable into a complete lattice effect algebra ^E and the compatiblity center of E is not a Boolean algebra then there exists an (o)-continuous subadditive state on E.
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| Date |
2019-02-07T12:36:36Z
2019-02-07T12:36:36Z 2010 |
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| Type |
Article
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| Identifier |
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements / Z. Riecanová // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 06C15; 03G12; 81P10 http://dspace.nbuv.gov.ua/handle/123456789/146094 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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