Khalid Ajran

collaborators

3 papers

math.CO2025

The Pop-Stack Operator on Ornamentation Lattices

Khalid Ajran, Colin Defant

Each rooted plane tree $T$ has an associated ornamentation lattice $O (T)$ . The ornamentation lattice of an $n$ -element chain is the $n$ -th Tamari lattic…

math.CO2023

Factoriality inside Boolean lattices

Khalid Ajran, Felix Gotti

Given a join semilattice $S$ with a minimum $0^$ , the quarks (also called atoms in order theory) are the elements that cover $0^$ , and for each $x \in S \setminus \{\hat{…

math.AC2023

Factorization in Additive Monoids of Evaluation Polynomial Semirings

Khalid Ajran, Juliet Bringas, Bangzheng Li +2

For a positive real $α$ , we can consider the additive submonoid $M$ of the real line that is generated by the nonnegative powers of $α$ . When $α$ is transcendental, $M$ is a unique…