Lexicographic Product vs \mathbb Q-perfect and \mathbb H-perfect Pseudo Effect Algebras

2013/03/04 by Anatolij Dvurečenskij, Miroslav Kolařík, Dvurecenskij, A. +1
Computer Science · Decision Sciences · Mathematics · #03G12 #Advanced Algebra and Logic #FOS: Physical sciences #Fuzzy and Soft Set Theory #Mathematical Physics (math-ph) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1303.0807

openalex publication_date 2013/03/04 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

Citations

• Effect algebras and unsharp quantum logics

Related

• When Lexicographic Product of Two po-Groups has the Riesz Decomposition Property
• Riesz Decomposition Properties and the Lexicographic Product of po-groups
• Lexicographic Effect Algebras
• Pseudo MV-algebras and Lexicographic Product
• \mathbb H-perfect Pseudo MV-algebras and Their Representations