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arxiv: 2308.02791 · v1 · pith:NBSNABHTnew · submitted 2023-08-05 · 🧮 math.AC

Monomial ideals with regular quotients and some edge rings

classification 🧮 math.AC
keywords idealsmonomialquotientsedgeregularringsablebelonging
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We introduce and study monomial ideals with regular quotients, which can be seen as an extension of monomial ideals with linear quotients. Based on these investigations, we are able to calculate the Betti numbers of toric ideals belonging to various classes of edge rings.

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