On JP-semilattices of Begum and Noor. (Q2856920)

From MaRDI portal





scientific article; zbMATH DE number 6221248
Language Label Description Also known as
English
On JP-semilattices of Begum and Noor.
scientific article; zbMATH DE number 6221248

    Statements

    0 references
    30 October 2013
    0 references
    JP-semilattice
    0 references
    meet semilattice
    0 references
    nearlattice
    0 references
    partial lattice
    0 references
    On JP-semilattices of Begum and Noor. (English)
    0 references
    In recent papers [``Some characterizations of modular and distributive JP-semilattices'', Atl. Electron. J. Math. 4, 56--69 (2011); Math. Bohem. 136, No. 3, 225--239 (2011; Zbl 1249.06004)], \textit{S. N. Begum} and \textit{A. S. A. Noor} studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. The author shows that their axiom system is too weak to be a satisfactory basis for their constructions and proofs. Also, he improves the definition of a JP-semilattice in order to ensure the validity of their announced results.
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references