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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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