Freiman t-spread principal Borel ideals

2021/07/03 by Zhu, Guangjun, Zhao, Yakun, Cui, Yijun
#13A15 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C99 #Secondary 13E15

paper · doi:10.48550/arxiv.2107.05435

Abstract

An equigenerated monomial ideal I 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 least number of monomial generators of I. Freiman ideals are special since there exists an exact formula computing the least number of monomial generators of any of their powers. In this paper we give a complete classification of Freiman t-spread principal Borel ideals.

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