Geodesic
An atomic MV-effect algebra with non-atomic center
Kybernetika, Tome 43 (2007) no. 3, pp. 343-346

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Does there exist an atomic lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question (and slightly more) is given: An example of an atomic MV-effect algebra with a non-atomic Boolean subalgebra of sharp or central elements is presented.
Classification : 03G12, 06C15, 06D35, 81P10
Keywords: lattice effect algebra; MV-effect algebra; Archimedean effect algebra; sharp element; central element; atom 
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     author = {Olej\v{c}ek, Vladim{\'\i}r},
     title = {An atomic {MV-effect} algebra with non-atomic center},
     journal = {Kybernetika},
     pages = {343--346},
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     zbl = {1149.06006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/}
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Olejček, Vladimír. An atomic MV-effect algebra with non-atomic center. Kybernetika, Tome 43 (2007) no. 3, pp. 343-346. http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/