Yakun Zhao

collaborators

4 papers

math.AC2022

The facet ideals of chessboard complexes

Chengyao Jiang, Yakun Zhao, Hong Wang +1

In this paper we describe the irreducible decomposition of the facet ideal $\F(Δ_{m,n})$ of the chessboard complex $Δ_{m, n}$ with $n \geq m$ . We also provide some lower bounds for d…

math.AC2022

Freiman Borel type ideals

Guangjun Zhu, Yakun Zhao, Shiya Duan +1

An equigenerated monomial ideal $I$ in the polynomial ring $S = K [x_{1}, \dots, x_{n}]$ is a Freiman ideal if $μ (I^{2}) = ℓ (I) μ (I) - (2 ℓ ( I ))$ where $ℓ (I)$ is the analytic spre…

math.AC2021

Freiman $t$ -spread principal Borel ideals

Guangjun Zhu, Yakun Zhao, Yijun Cui

An equigenerated monomial ideal $I$ is a Freiman ideal if $μ (I^{2}) = ℓ (I) μ (I) - (2 ℓ ( I ))$ where $ℓ (I)$ is the analytic spread of $I$ and $μ (I)$ is the least number of mo…