Atomic Effect Algebras with the Riesz Decomposition Property
Commutative Algebra
2015-06-04 v1
Abstract
We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any -orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states.
Keywords
Cite
@article{arxiv.1203.0111,
title = {Atomic Effect Algebras with the Riesz Decomposition Property},
author = {Anatolij Dvurecenskij and Yongjian Xie},
journal= {arXiv preprint arXiv:1203.0111},
year = {2015}
}