Triple Representation Theorem for orthocomplete homogeneous effect algebras

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

2012-04-03

arxiv.org/abs/1204.0607v1

Mathematics

Logic

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

Scientific paper

The aim of our paper is twofold. First, we thoroughly study the set of meager elements $M(E)$, the set of sharp elements $S(E)$ and the center $C(E)$ in the setting of meager-orthocomplete homogeneous effect algebras $E$. Second, we prove the Triple Representation Theorem for sharply dominating meager-orthocomplete homogeneous effect algebras, in particular orthocomplete homogeneous effect algebras.

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