Arithmetical rank of binomial ideals
classification
🧮 math.AC
math.AG
keywords
arithmeticalrankbinomialidealattentionboundscasecases
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In this paper, we investigate the arithmetical rank of a binomial ideal $J$. We provide lower bounds for the binomial arithmetical rank and the $J$-complete arithmetical rank of $J$. Special attention is paid to the case where $J$ is the binomial edge ideal of a graph. We compute the arithmetical rank of such an ideal in various cases.
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