2 papers
math.AC2026
On atoms and their density in the monoid of monomial ideals
Nikola Bogdanovic, Laura Cossu
We study the structure and distribution of atoms in the monoid of nonzero monomial ideals of the polynomial ring , with . We…
math.AC2025
On the arithmetic of polynomial ideals
Nikola Bogdanovic, Laura Cossu, Azeem Khadam
This paper investigates atomic factorizations in the monoid of nonzero ideals of a multivariate polynomial ring , under ideal multiplication. Building on recent…