Modularity, Atomicity and States in Archimedean Lattice Effect Algebras

Скорочена інформація про документ
dc.contributor.authorPaseka, J.
dc.date.accessioned2019-02-07T12:34:09Z
dc.date.available2019-02-07T12:34:09Z
dc.date.issued2010
dc.description.abstractEffect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o)-continuous state ω on E, which is subadditive. Moreover, we show properties of finite and compact elements of such lattice effect algebras.uk_UA
dc.description.sponsorshipThis 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 We gratefully acknowledge financial support of the Ministry of Education of the Czech Republic under the project MSM0021622409. We also thank the anonymous referees for the very thorough reading and contributions to improve our presentation of the paper.uk_UA
dc.identifier.citationModularity, Atomicity and States in Archimedean Lattice Effect Algebras / J. Paseka // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 36 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 06C15; 03G12; 81P10
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146093
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleModularity, Atomicity and States in Archimedean Lattice Effect Algebrasuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
003-Paseka.pdf
Розмір:
217.29 KB
Формат:
Adobe Portable Document Format
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік