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Projectability and weak homogeneity of pseudo effect algebras

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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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Authors and Affiliations

  1. Matematický ústav SAV, Grešákova 6, 04001, Košice, Slovakia

    Ján Jakubík

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  1. Ján Jakubík
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Correspondence to Ján Jakubík.

Additional information

Supported by VEGA grant 1/2002/05.

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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Jakubík, J. Projectability and weak homogeneity of pseudo effect algebras. Czech Math J 59, 183–196 (2009). https://doi.org/10.1007/s10587-009-0013-7

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  • DOI: https://doi.org/10.1007/s10587-009-0013-7

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