Atomic Effect Algebras with the Riesz Decomposition Property

作者：Dvurecenskij, Anatolij; Xie, Yongjian^*

来源：Foundations of Physics, 2012, 42(8): 1078-1093.

DOI：10.1007/s10701-012-9655-7

• Effect algebra
• Riesz decomposition property
• MV-effect algebra
• Interpolation
• Pseudo-effect algebra
• State

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.

• 出版日期2012-8
• 单位陕西师范大学