The poset of proper divisibility

Davide Bolognini, Antonio Macchia, Emanuele Ventura +1

We study the partially ordered set $P(a_1,\dots ,a_n)$ of all multidegrees $(b_1,\dots ,b_n)$ of monomials $x_1^{b_1}\cdots x_n^{b_n}$ which properly divide $x_1^{a_1}\cdots x_n^{a…