THE LEXICOGRAPHIC PRODUCT OF PO-GROUPS AND n-PERFECT PSEUDO EFFECT ALGEBRAS

نویسندگان

  • ANATOLIJ DVUREČENSKIJ
  • JAN KRŇÁVEK
چکیده

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 RDP1.

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تاریخ انتشار 2012