Lexicographic Product vs $\mathbb Q$-perfect and $\mathbb H$-perfect Pseudo Effect Algebras
Mathematical Physics
2013-03-05 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1303.0807,
title = {Lexicographic Product vs $\mathbb Q$-perfect and $\mathbb H$-perfect Pseudo Effect Algebras},
author = {A. Dvurecenskij and M. Kolarik},
journal= {arXiv preprint arXiv:1303.0807},
year = {2013}
}