1. On JP-semilattices of Begum and Noor
- Creator:
- Cīrulis, Jānis
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- JP-semilattice, meet semilattice, nearlattice, and partial lattice
- Language:
- English
- Description:
- 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 partial join operation.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public