Liuqing Yang

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math.AC2025

Depth of the 3-path Ideal of Square of a Path

Liuqing Yang, Lizhong Chu

In this note, we compute depth of the 3-path ideal of square of a path and show that the 3-path ideal I3(P 2 n) of square of a path graph is Cohen-Macaulay if and only if n = 3 or…

math.AC2025

Some Results on $v$ -Number of Monomial Ideals

Liuqing Yang, Kaiwen Hu, Lizhong Chu

This paper investigates the v-number of various classes of monomial ideals. First, we considers the relationship between the v-number and the regularity of the mixed product ideal…

math.AC2025

The Multiplicity of Powers of a Class of Non-Square-free Monomial Ideals

Liuqing Yang, Zexin Wang

Let $R = K [x_{1}, \dots, x_{n}]$ be a polynomial ring over a field $K$ , and let $I \subseteq R$ be a monomial ideal of height $h$ . We provide a formula for the multi…

Depth of the 3-path Ideal of Square of a Path

Some Results on v-Number of Monomial Ideals

The Multiplicity of Powers of a Class of Non-Square-free Monomial Ideals

Some Results on $v$ -Number of Monomial Ideals