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.
| Comments: | This paper is to appear in Contemporary Mathematics, American Mathematical Society (AMS) |
| Subjects: | Commutative Algebra (math.AC) |
| Cite as: | arXiv:2510.16566 [math.AC] |
| (or arXiv:2510.16566v2 [math.AC] for this version) | |
| https://doi.org/10.48550/arXiv.2510.16566 arXiv-issued DOI via DataCite |
From: Mehrdad Nasernejad [view email]
[v1]
Sat, 18 Oct 2025 16:21:07 UTC (12 KB)
[v2]
Fri, 22 May 2026 10:30:22 UTC (17 KB)
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