词典积与$\mathbb Q$ -完美和$\mathbb H$ -完美伪效应代数
Lexicographic Product vs $\mathbb Q$-perfect and $\mathbb H$-perfect Pseudo Effect Algebras
摘要：
研究了两个po-群的字典序积的Riesz分解性质。然后，我们将它们应用到伪效应代数的研究中，这些伪效应代数可以被分解为一个由实数的某个子群所索引的可比的非空片系统。最后给出了它们的字典积表示。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
