Projectability and weak homogeneity of pseudo effect algebras

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.59, Iss.1, 2009-03, pp. : 183-196

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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.

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