A family of monomial ideals with the persistence property

27 Apr 2018 Moradi Somayeh Rahimbeigi Masoomeh Khosh-Ahang Fahimeh Jahan Ali Soleyman

In this paper we introduce a family of monomial ideals with the persistence property. Given positive integers $n$ and $t$, we consider the monomial ideal $I=Ind_t(P_n)$ generated by all monomials $\textbf{x} ^F$, where $F$ is an independent set of vertices of the path graph $P_n$ of size $t$, which is indeed the facet ideal of the $t$-th skeleton of the independence complex of $P_n$... (read more)

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  • COMMUTATIVE ALGEBRA