Triple Representation Theorem for homogeneous effect algebras

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Authors

NIEDERLE Josef PASEKA Jan

Year of publication 2012
Type Article in Proceedings
Conference 2012 42ND IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL)
MU Faculty or unit

Faculty of Science

Citation
Web http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6214831
Doi http://dx.doi.org/10.1109/ISMVL.2012.27
Field General mathematics
Keywords Homogeneous effect algebra; TRT-effect algebra; orthocomplete effect algebra; lattice effect algebra; MV-algebra; block; center; atom; sharp element; meager element; sharply dominating effect algebra
Attached files
Description The aim of our paper is to prove the Triple Representation Theorem, which was established by Jenca in the setting of complete lattice effect algebras, for a special class of homogeneous effect algebras, namely TRT-effect algebras. This class includes complete lattice effect algebras, sharply dominating Archimedean atomic lattice effect algebras and homogeneous orthocomplete effect algebras.
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