Integral closures of powers of sums of ideals

Arindam Banerjee, Huy Tai Ha

Let $k$ be a field, let $A$ and $B$ be polynomial rings over $k$, and let $S=A{\otimes }_{k}B$. Let $I\subseteq A$ and $J\subseteq B$ be monomial ideals. We establish a binomial ex…