Zexin Wang

activity

20222026

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Showing 2024Show all

3 papers · 1 filter

math.AC2024

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…

math.AC2024

Betti numbers of normal edge rings (\bf{I})

Zexin Wang, Dancheng Lu

We introduce a novel approach named the {\it induced-subgraph approach} for investigating the Betti numbers of normal edge rings. Utilizing this approach, we compute all the multig…

math.AC2024

Multiplicity of powers of path ideals of a line graph

Jiawen Shan, Zexin Wang, Dancheng Lu

Let $S = K [x_{1}, \dots, x_{n}]$ and let $I$ be the $t$ -path ideal of the line graph $L_{n}$ with $n$ -vertices. It is shown that the set of associated prime ideals of $I^{s}$ is equal to the…