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Kybernetika 43(3):343-346, 2007.

An Atomic MV-Effect Algebra with Non-atomic Center

Vladimír Olejček


Abstract:

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.


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


AMS: 06D35; 06C15; 03G12; 81P10 ;


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BIB TeX

@article{kyb:2007:3:343-346,

author = {Olej\v{c}ek, Vladim\'{\i}r },

title = {An Atomic MV-Effect Algebra with Non-atomic Center},

journal = {Kybernetika},

volume = {43},

year = {2007},

number = {3},

pages = {343-346}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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