Kybernetika 43 no. 3, 343-346, 2007

An atomic MV-effect algebra with non-atomic center

Vladimír Olejček


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.