Yijun Cui

activity

20212025

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2 papers · 1 filter

math.AC2025

The regularity of monomial ideals and their integral closures

Yijun Cui, Cheng Gong, Guangjun Zhu

Let $I$ be a monomial ideal in a polynomial ring $S = K [x_{1}, \dots, x_{n}]$ over a field $K$ with $n = 2$ or $3$ , and let $I$ be its integral closure. We will show that $\text{…

math.AC2025

Depth of powers of edge ideals of edge-weighted integrally closed cycles

Guangjun Zhu, Jiaxin Li, Yijun Cui +1

This paper gives some exact formulas for the depth of powers of the edge ideal of an edge-weighted integrally closed cycle.