Modularity, Atomicity and States in Archimedean Lattice Effect Algebras

PASEKA, Jan. Modularity, Atomicity and States in Archimedean Lattice Effect Algebras. SIGMA. 2010, vol. 6, No 003, 9 pp. ISSN 1815-0659.

Basic information

Original name

Modularity, Atomicity and States in Archimedean Lattice Effect Algebras

Authors

PASEKA, Jan (203 Czech Republic, guarantor)

Edition

SIGMA, 2010, 1815-0659

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Ukraine

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.856

RIV identification code

RIV/00216224:14310/10:00043526

Organization unit

Faculty of Science

UT WoS

000273562500003

Keywords in English

effect algebra; state; modular lattice; finite element; compact element

Tags

International impact, Reviewed

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Abstract

V originále

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 omega on E, which is subadditive.

In Czech

Efektové algebry jsou zobecněním mnoha struktur vyskytujících se v kvantové fyzice a matematické ekonomii. Ukážeme, že každá modulární atomická svazová efektová algebra, která není ortomodulární svaz, má subaditivní (o)-spojitý stav.

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Links

MSM0021622409, plan (intention)

Name: Matematické struktury a jejich fyzikální aplikace Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications