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@article{876283,
author = {Paseka, Jan},
article_number = {003},
keywords = {effect algebra; state; modular lattice; finite element; compact element},
language = {eng},
issn = {1815-0659},
journal = {SIGMA},
title = {Modularity, Atomicity and States in Archimedean Lattice Effect Algebras},
volume = {6},
year = {2010}
}
TY - JOUR
ID - 876283
AU - Paseka, Jan
PY - 2010
TI - Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
JF - SIGMA
VL - 6
IS - 003
SN - 18150659
KW - effect algebra
KW - state
KW - modular lattice
KW - finite element
KW - compact element
N2 - 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.
ER -
PASEKA, Jan. Modularity, Atomicity and States in Archimedean Lattice Effect Algebras. \textit{SIGMA}. 2010, roč.~6, č.~003, 9 s. ISSN~1815-0659.
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