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	https://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	PasekaNiedISMVL06214831__1_.pdf
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.
Related projects:	Mathematical structures and their physical applications