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Keywords:
lattice effect algebra; MV-effect algebra; Archimedean effect algebra; sharp element; central element; atom
lattice effect algebra; MV-effect algebra; Archimedean effect algebra; sharp element; central element; atom
Summary:
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.
References:
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