Freiman cover ideals of unmixed bipartite graphs

2021/04/30 by Zhu, Guangjun, Zhao, Yakun, Cui, Yijun
#13C99 #13E15 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13F20 #Secondary 13H10

paper · doi:10.48550/arxiv.2105.00871

Abstract

An equigenerated monomial ideal I in the polynomial ring R=k[z₁,…, z_n] is a Freiman ideal if μ(I²)=ℓ(I)μ(I)-ℓ(I)\choose 2 where ℓ(I) is the analytic spread of I and μ(I) is the number of minimal generators of I. In this paper we classify all simple connected unmixed bipartite graphs whose cover ideals are Freiman ideals.

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