The regularity of monomial ideals and their integral closures

Yijun Cui, Cheng Gong, Guangjun Zhu

Let $I$ be a monomial ideal in a polynomial ring $S=K[x_1,\dots ,x_n]$ over a field $K$ with $n=2$ or $3$, and let $\overline{I}$ be its integral closure. We will show that $\text{…