%0 Journal Article
%T Archimedean Atomic Lattice Effect Algebras with Complete Lattice of Sharp Elements
%A Zdenka Riecanov¨˘
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X We study Archimedean atomic lattice effect algebras whose set of sharp elements is a complete lattice. We show properties of centers, compatibility centers and central atoms of such lattice effect algebras. Moreover, we prove that if such effect algebra E is separable and modular then there exists a faithful state on E. Further, if an atomic lattice effect algebra is densely embeddable into a complete lattice effect algebra ^E and the compatiblity center of E is not a Boolean algebra then there exists an (o)-continuous subadditive state on E.
%K effect algebra
%K state
%K sharp element
%K center
%K compatibility center
%U http://dx.doi.org/10.3842/SIGMA.2010.001