Monomial ideals with regular quotients and some edge rings

Dancheng Lu; Hao Zhou

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arxiv 2308.02791 v1 pith:NBSNABHT submitted 2023-08-05 math.AC

Monomial ideals with regular quotients and some edge rings

Dancheng Lu , Hao Zhou This is my paper

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.

Monomial ideals with regular quotients and some edge rings

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