Atomic Effect Algebras with the Riesz Decomposition Property
  We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any $\sigma$-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. 
Anatolij Dvurecenskij, Yongjian Xie
math.AC