Triple construction of semilattices with admitting neutral -closure operators
P.V. Ramana Murty, V. Raman (1982)
Mathematica Slovaca
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P.V. Ramana Murty, V. Raman (1982)
Mathematica Slovaca
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Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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Shriram Nimbhorkar, Anwari Rahemani (2011)
Open Mathematics
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Characterizations for a pseudocomplemented modular join-semilattice with 0 and 1 and its ideal lattice to be a Stone lattice are given.
Ivan Chajda (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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George Grätzer, Friedrich Wehrung (1999)
Colloquium Mathematicae
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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...