Geodesic
Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
Kybernetika, Tome 48 (2012) no. 2, pp. 294-298.

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Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
Classification : 03G12, 06C15, 06D35, 81P10
Keywords: atomic Archimedean lattice effect algebra; sharp element 
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     author = {Olej\v{c}ek, Vladim{\'\i}r},
     title = {Fractal construction of an atomic {Archimedean} effect algebra with non-atomic subalgebra of sharp elements},
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Olejček, Vladimír. Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements. Kybernetika, Tome 48 (2012) no. 2, pp. 294-298. http://geodesic.mathdoc.fr/item/KYB_2012__48_2_a8/