D. Lu

collaborators

3 papers

math.AC2019

The socle module of a monomial ideal

Lizhong Chu, Jürgen Herzog, Dancheng Lu

For any ideal $I$ in a Noetherian local ring or any graded ideal $I$ in a standard graded $K$ -algebra over a field $K$ , we introduce the socle module $Soc (I)$ , whose grade…

math.AC2018

Geometric regularity of powers of two-dimensional squarefree monomial ideals

Dancheng Lu

Let $I$ be a two-dimensional squarefree monomial ideal of a polynomial ring $S$ . We evaluate the geometric regularity, $a_{i}$ -invariants for $i \geq 1$ of the power $I^{n}$ . It turns o…

math.AC2018

On reduction number of products of ideals

Dancheng Lu, Tongsuo Wu

Let $R$ be a standard graded algebra over an infinite field $K$ and $M$ a finitely generated $\ZZ$-graded $R$ -module. Let $I_{1}, \dots I_{m}$ be graded ideals of $R$ . The fun…