On JP-semilattices of Begum and Noor. (Q2856920)
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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 |
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30 October 2013
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JP-semilattice
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meet semilattice
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nearlattice
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partial lattice
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On JP-semilattices of Begum and Noor. (English)
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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.
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