Tuesday, November 13, 2012

1211.2464 (A. Dvurečenskij et al.)

The lexicographic product of po-groups and $n$-perfect pseudo effect

A. Dvurečenskij, J. Krňávek
We will study the existence of different types of the Riesz Decomposition Property for the lexicographic product of two partially ordered groups. A special attention will be paid to the lexicographic product of the group of the integers with an arbitrary po-group. Then we apply these results to the study of $n$-perfect pseudo effect algebras. We show that the category of strong $n$-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups with RDP$_1.$
View original: http://arxiv.org/abs/1211.2464

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