In this note we prove that divisible residuated semilattices have some specific algebraic properties. We show that: (1) for normal and divisible residuated semilattices representability is equivalent to the existence… Click to show full abstract
In this note we prove that divisible residuated semilattices have some specific algebraic properties. We show that: (1) for normal and divisible residuated semilattices representability is equivalent to the existence of a join term, (2) any integral divisible residuated semilattice is distributive, and (3) a finite divisible residuated semilattice is integral and commutative.
Keywords:
note divisible;
divisible residuated;
short note;
residuated semilattices
Journal Title: Soft Computing
Year Published: 2020
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Journal Title: Soft Computing
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!