Dancheng Lu

activity

20232025

most citedThe chain algebra of a pure poset

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024★ 1 cited

The chain algebra of a pure poset

Dancheng Lu

We extend the notion of chain algebra, originally defined in \cite{GN} for finite distributive lattices, to that of finite pure posets. We show this algebra corresponds to the Ehrh…

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…