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 \(\frac{1}{n}\mathbb{Z}\) with some po-group. The analogous result will be proved for strong \(\mathbb{Q}\)-perfect pseudo effect algebras.
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