Displaying similar documents to “Universal and internal properties of some completions of k-join-semilattices and k-join-distributive partially ordered sets.”

On JP-semilattices of Begum and Noor

Jānis Cīrulis (2013)

Mathematica Bohemica

Similarity:

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...

Flat semilattices

George Grätzer, Friedrich Wehrung (1999)

Colloquium Mathematicae

Similarity: