Displaying similar documents to “Direct products of homomorphic mappings. II”

An ordered structure of pseudo-BCI-algebras

Ivan Chajda, Helmut Länger (2016)

Mathematica Bohemica

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In Chajda's paper (2014), to an arbitrary BCI-algebra the author assigned an ordered structure with one binary operation which possesses certain antitone mappings. In the present paper, we show that a similar construction can be done also for pseudo-BCI-algebras, but the resulting structure should have two binary operations and a set of couples of antitone mappings which are in a certain sense mutually inverse. The motivation for this approach is the well-known fact that every commutative...

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.