Displaying similar documents to “Direct product decompositions of pseudo effect algebras”

Maximal completion of a pseudo MV-algebra

Ján Jakubík (2003)

Archivum Mathematicum

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In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo M V -algebras.

Projectability and weak homogeneity of pseudo effect algebras

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

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In this paper we deal with a pseudo effect algebra 𝒜 possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, 𝒜 can be represented as an interval of a unital partially ordered group G . We prove that 𝒜 is projectable (strongly projectable) if and only if G is projectable (strongly projectable). An analogous result concerning weak homogeneity of 𝒜 and of G is shown to be valid.

Direct product decompositions of pseudo MV-algebras

Ján Jakubík (2001)

Archivum Mathematicum

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In this paper we deal with the relations between the direct product decompositions of a pseudo M V -algebra and the direct product decomposicitons of its underlying lattice.

Direct product decompositions of pseudo M V -algebras

Ján Jakubík (2001)

Archivum Mathematicum

Similarity:

In this paper we deal with the relations between the direct product decompositions of a pseudo M V -algebra and the direct product decomposicitons of its underlying lattice.