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In this paper, we focus on the associated primes of powers of monomial ideals and asymptotic behavior properties such as normally torsion-freeness, normality, the strong persistence property, and the persistence property. In particular, we introduce
Externí odkaz:
http://arxiv.org/abs/2408.05561
Autor:
Quinonez, V. Crispin, Emtander, E.
Publikováno v:
Le Matematiche, Vol. 63 (2008), no. 2, 185--189
Let $G$ be a simple undirected graph on $n$ vertices. Francisco and Van Tuyl have shown that if $G$ is chordal, then $\bigcap_{\{x_i,x_j\}\in E_G} < x_i,x_j>$ is componentwise linear. A natural question that arises is for which $t_{ij}>1$ the ideal $
Externí odkaz:
http://arxiv.org/abs/0911.2026