n-Perfect and -Perfect Pseudo Effect Algebras
Abstract
An n-perfect pseudo effect algebra means that it can be decomposed into n+1 comparable slices. We show that such a pseudo effect algebra satisfying a Riesz Decomposition Property type corresponds to the lexicographic product of a cyclic group with some po-group. The analogous result will be proved for strong -perfect pseudo effect algebras.
- Publication:
-
International Journal of Theoretical Physics
- Pub Date:
- October 2014
- DOI:
- 10.1007/s10773-013-1723-z
- Bibcode:
- 2014IJTP...53.3380D