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arxiv: 1401.1057 · v1 · pith:FMCKZRZZnew · submitted 2014-01-06 · 🧮 math.AC · math.CO

Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters

classification 🧮 math.AC math.CO
keywords stanleyclutterdepthedgemathcalregularityboundsclutters
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Let $I$ be the edge ideal of a clutter $\mathcal{C}$ in a polynomial ring $S$. In this paper, we present estimations of the Stanley depth of $I$ as well as the Stanley regularity of $S/I$, in terms of combinatorial data from the clutter $\mathcal{C}$.

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