Projectability and weak homogeneity of pseudo effect algebras |
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Authors: | Ján Jakubík |
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Institution: | (1) Matematicky ústav SAV, Grešákova 6, 04001 Košice, Slovakia |
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Abstract: | In this paper we deal with a pseudo effect algebra
possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein,
can be represented as an interval of a unital partially ordered group G. We prove that
is projectable (strongly projectable) if and only if G is projectable (strongly projectable). An analogous result concerning weak homogeneity of
and of G is shown to be valid.
This work has been partially supported by the Slovak Academy of Sciences via the project Center of Excellence—Physics of Information
(grant I/2/2005). |
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Keywords: | pseudo effect algebra unital partially ordered group internal direct factor polar projectability strong projectability weak homogeneity |
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