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arXiv · 2510.16566

Criteria for the presence of the maximal ideal in the set of associated primes

Mehrdad Nasernejad·Jonathan Toledo
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Abstract

In this paper, we establish some criteria to detect the presence of the maximal ideal $(x_1, \ldots, x_n)$ in the set of associated primes of powers of monomial ideals in the polynomial ring $K[x_1, \ldots, x_n]$. Furthermore, for each of these criteria, we illustrate its applicability with corresponding examples.

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Mehrdad Nasernejad, Jonathan Toledo. 2025-10-18. Criteria for the presence of the maximal ideal in the set of associated primes. https://arxiv.org/abs/2510.16566

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