Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
Інший ID:
2010 Mathematics Subject Classification: 06C15; 03G12; 81P10
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the 5-th Microconference “Analytic and Algebraic Methods V”. The full collection is available at http://www.emis.de/journals/SIGMA/Prague2009.html.
This work was supported by the Slovak Research and Development Agency under the contract No. APVV–0375–06 and the grant VEGA-2/0032/09 of MS SR. The author wishes to express his thanks to referees for many stimulating questions and suggestions during the preparation of the paper, which helped to improve it.
Дата:
2010
Переглядів:
552
Завантажень:
244
Анотація:
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.
