Modularity, Atomicity and States in Archimedean Lattice Effect Algebras

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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dc.contributor.author	Paseka, J.
dc.date.accessioned	2019-02-07T12:34:09Z
dc.date.available	2019-02-07T12:34:09Z
dc.date.issued	2010
dc.identifier.citation	Modularity, 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 06C15; 03G12; 81P10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146093
dc.description.abstract	Effect 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.sponsorship	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 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Modularity, Atomicity and States in Archimedean Lattice Effect Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA