2022•arXiv (Cornell University)Open access
On the Betti numbers of monomial ideals and their powers
Reza Abdolmaleki, Rashid Zaare-Nahandi
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Abstract
Let $S=\mathbb{K}[x_1,\ldots,x_n]$ the polynomial ring over a field $\mathbb{K}$. In this paper for some families of monomial ideals $I \subset S$ we study the minimal number of generators of $I^k$. We use this results to find some other Betti numbers of these families of ideals for special choices of $n$, the number of variables.
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