English

Freiman $t$-spread principal Borel ideals

Commutative Algebra 2021-07-13 v1

Abstract

An equigenerated monomial ideal II is a Freiman ideal if μ(I2)=(I)μ(I)((I)2)\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2} where (I)\ell(I) is the analytic spread of II and μ(I)\mu(I) is the least number of monomial generators of II. 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 tt-spread principal Borel ideals.

Keywords

Cite

@article{arxiv.2107.05435,
  title  = {Freiman $t$-spread principal Borel ideals},
  author = {Guangjun Zhu and Yakun Zhao and Yijun Cui},
  journal= {arXiv preprint arXiv:2107.05435},
  year   = {2021}
}
R2 v1 2026-06-24T04:06:22.739Z