D. Lu

activity

20052026

Z

-local rings

5 citations · 16 across the 23 of their papers we have counts for

collaborators

23 papers

math.AC2026

Further results on monomial ideals of projective dimension one

Dancheng Lu, Jiawen Shan, Yu Wang

We prove that a monomial ideal has projective dimension one if and only if its minimal monomial generators can be ordered so that each successive colon ideal is principal, and show…

math.AC2026

Depth of powers of the edge ideal of an increasing weighted path

Jiaxin Li, Dancheng Lu, Thanh Vu +1

We provide exact formulas for the depth of the quotient ring of powers of the edge ideal of an increasing weighted path.

math.AC2023

Monomial ideals with regular quotients and some edge rings

Dancheng Lu, Hao Zhou

We introduce and study monomial ideals with regular quotients, which can be seen as an extension of monomial ideals with linear quotients. Based on these investigations, we are abl…

math.AC2023

Correction to: Powers of the vertex cover ideals (Collect. Math. 65 (2014) 169--181)

Dancheng Lu, Zexin Wang

We point out an essential gap in the proof of one of main results in \cite{M} and then give a corrected proof for it.

math.AC2023

Regularity of powers of path ideals of line graphs

Jiawen Shan, Dancheng Lu

Let $L_{n}$ be a line graph with $n$ vertices and let $I$ be its $t$ -path ideal. It is shown that $I^{s}$ has a linear resolution for some $s \geq 1$ (or equivalently for all $s \geq 1$ )…

math.AC2022

On powers of the cover ideals of graphs

Dancheng Lu, Zexin Wang

For a simple graph $G$ , assume that $J (G)$ is the vertex cover ideal of $G$ and $J (G)^{(s)}$ is the $s$ -th symbolic power of $J (G)$ . We prove that $(J (C)^{(s)}) = (J (C)^{s})$ for all $…