Direct products of homomorphic mappings. I
Ivan Chajda (1973)
Archivum Mathematicum
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Ivan Chajda (1973)
Archivum Mathematicum
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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...
Ján Jakubík (2005)
Mathematica Slovaca
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Ján Jakubík (2009)
Czechoslovak Mathematical Journal
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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 . We prove that is projectable (strongly projectable) if and only if is projectable (strongly projectable). An analogous result concerning weak homogeneity of and of is shown to be valid.
Ivan Chajda (1974)
Archivum Mathematicum
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