Atomic Effect Algebras with the Riesz Decomposition Property

• DOI: 10.1007/s10701-012-9655-7
• Publication Date: 2012-05-15T19:50:31Z
• Authors: Anatolij Dvurečen...; Yongjian Xie
• Keywords: Interpolation

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.