Decomposable clutters and a generalization of Simon's conjectutre

Mina Bigdeli, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi

Each (equigenerated) squarefree monomial ideal in the polynomial ring $S=\mathbb{K}[x_1,\dots ,x_n]$ represents a family of subsets of $[n]$, called a (uniform) clutter. In this…