Self-commuting lattice polynomial functions

TL;DR

This paper characterizes when lattice polynomial functions are self-commuting, providing explicit descriptions over chains, which advances understanding of their algebraic properties and potential applications.

Contribution

It offers sufficient conditions for self-commuting lattice polynomial functions and explicitly describes such functions over chains, filling a gap in algebraic theory.

Findings

Identified sufficient conditions for self-commuting lattice polynomial functions.

Explicit descriptions of self-commuting functions over chains.

Enhanced understanding of algebraic properties of lattice polynomials.

Abstract

We provide sufficient conditions for a lattice polynomial function to be self-commuting. We explicitly describe self-commuting polynomial functions over chains.