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arxiv: 1204.0605 · v1 · pith:IJ3SDNCInew · submitted 2012-04-03 · 🧮 math.LO

Triple Representation Theorem for homogeneous effect algebras

classification 🧮 math.LO
keywords algebraseffecthomogeneouslatticeclasscompleterepresentationtheorem
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The aim of our paper is to prove the Triple Representation Theorem, which was established by Jen\v{c}a 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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