On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals

Amir Mafi, Rando Rasul Qadir

Let $R=k[x_1,\dots ,x_n]$ be a polynomial ring in $n$ variables over a field $k$, and let $I$ be a monomial ideal of $R$. If $I$ is an almost complete intersection, then we provi…