1 problem

Let $S=\Bbbk[x_{1},\ldots,x_{n}]$, let $P=(x_{1}^{e_{1}},\ldots,x_{r}^{e_{r}})$, and set $R=S/P$. Let $I$ be a homogeneous ideal containing $P$, and let $L$ be the lex-plus-$P$ ide…