Freiman $t$-spread principal Borel ideals

Guangjun Zhu; Yakun Zhao; Yijun Cui

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arXiv · 2107.05435

Freiman $t$-spread principal Borel ideals

Guangjun Zhu·Yakun Zhao·Yijun Cui

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Abstract

An equigenerated monomial ideal $I$ is a Freiman ideal if $μ(I^2)=\ell(I)μ(I)-{\ell(I)\choose 2}$ where $\ell(I)$ 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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Guangjun Zhu, Yakun Zhao, Yijun Cui. 2021-07-03. Freiman $t$-spread principal Borel ideals. https://arxiv.org/abs/2107.05435

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