1. Projectability and weak homogeneity of pseudo effect algebras
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- pseudo effect algebra, unital partially ordered group, internal direct factor, polar, projectability, strong projectability, and weak homogeneity
- Language:
- English
- Description:
- In this paper we deal with a pseudo effect algebra $\Cal A$ possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, $\Cal A$ can be represented as an interval of a unital partially ordered group $G$. We prove that $\Cal A$ is projectable (strongly projectable) if and only if $G$ is projectable (strongly projectable). An analogous result concerning weak homogeneity of $\Cal A$ and of $G$ is shown to be valid.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public