Triple Representation Theorem for homogeneous effect algebras

Details Triple Representation Theorem for homogeneous effect algebras Triple Representation Theorem for homogeneous effect algebras

2012-04-03

arxiv.org/abs/1204.0605v1

Mathematics

Logic

arXiv admin note: text overlap with arXiv:1203.6042 and arXiv:1101.2580

Scientific paper

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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