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arXiv · 1309.4986

Four generated, squarefree, monomial ideals

Adrian Popescu·Dorin Popescu
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Abstract

Let $I\supsetneq J$ be two squarefree monomial ideals of a polynomial algebra over a field generated in degree $\geq d$, resp. $\geq d+1$ . Suppose that $I$ is either generated by three monomials of degrees $d$ and a set of monomials of degrees $\geq d+1$, or by four special monomials of degrees $d$. If the Stanley depth of $I/J$ is $\leq d+1$ then the usual depth of $I/J$ is $\leq d+1$ too.

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Adrian Popescu, Dorin Popescu. 2013-09-19. Four generated, squarefree, monomial ideals. https://arxiv.org/abs/1309.4986

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