Abstract
Let $R$ be a polynomial ring over a field~$K$. To a given squarefree monomial ideal $I \subset R$, one can associate a hypergraph $\mathcal{H} (I)$. In this article, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $R/I$ when $\mathcal{H} (I)$ is a string or a cycle hypergraph.
Citation
Kyouko Kimura. Paolo Mantero. "Arithmetical rank of strings and cycles." J. Commut. Algebra 9 (1) 89 - 106, 2017. https://doi.org/10.1216/JCA-2017-9-1-89
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