Abstract

Let $S=K[x_1,\dots,x_n]$ be the polynomial ring over a field $K$ and $I$ be any monomial ideal of $S$. We set $R=S/I$. Let $P$ be a monomial prime ideal in $R$. Then for all $i$ the local cohomology modules of $H^i_P(R)$ are tame. For a graded ring $R$ we call a graded $R$-module $N$ is tame, if there exists an integer $j_0$ such that $N_j=0$ for all $j\leq j_0$, or else $N_j \neq 0$ for all $j\leq j_0$.



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