Monomial ideals with regular quotients and some edge rings

2023/08/05 by Lu, Dancheng, Zhou, Hao
#13D05 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13D45 #Secondary 13D02

paper · doi:10.48550/arxiv.2308.02791

Abstract

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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