Abstract
We prove that for every lattice effect algebra, the system of all congruences generated by the prime ideals of the compatibility center separates the elements. This is a common generalization of Chang’s representation theorem from 1959 and a result of Graves and Selesnick (Colloq Math 27:21–30, 1973).
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Acknowledgments
This research is supported by grants VEGA G-2/0059/12,G-1/0297/11 of MŠ SR, Slovakia, and by the Slovak Research and Development Agency under the contracts APVV-0073-10, APVV-0178-11.
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Jenča, G. Congruences generated by ideals of the compatibility center of lattice effect algebras. Soft Comput 17, 45–47 (2013). https://doi.org/10.1007/s00500-012-0901-x
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DOI: https://doi.org/10.1007/s00500-012-0901-x