1303.0807 (A. Dvurecenskij et al.)

Lexicographic Product vs $\mathbb Q$-perfect and $\mathbb H$-perfect
Pseudo Effect Algebras    [PDF]

A. Dvurecenskij, M. Kolarik

We study the Riesz Decomposition Property types of the lexicographic product of two po-groups. Then we apply them to the study of pseudo effect algebras which can be decomposed to a comparable system of non-void slices indexed by some subgroup of real numbers. Finally, we present their representation by the lexicographic product.

View original: http://arxiv.org/abs/1303.0807