Sets and Posets with Inversions
Árpád Száz (2011)
Publications de l'Institut Mathématique
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Árpád Száz (2011)
Publications de l'Institut Mathématique
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Josef Zapletal (1973)
Archivum Mathematicum
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Jānis Cīrulis (2013)
Mathematica Bohemica
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In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a...