L. Chu

activity

20142021

collaborators

3 papers

math.AC2021

The $a_{0}$ -invariants of powers of a two-dimensional squarefree monomial ideal

Lizhong Chu, Dancheng Lu

Let $Δ$ be an one-dimensional simplicial complex on ${1, 2, \dots, s}$ and $S$ the polynomial ring $K [x_{1}, \dots, x_{s}]$ over a field $K$ . The explicit formula for $a_{0} (S / I_{Δ}^{n})$ is…

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.AC2014

Partial regularities and $a^{*}$ -invariants of Borel type ideals

Dancheng Lu, Lizhong Chu

We express the Partial regularities and $a^{*}$ -invariants of a Borel type ideal in terms of its irredundant irreducible decomposition. In addition we consider the behaviours of thos…

The a0​-invariants of powers of a two-dimensional squarefree monomial ideal

The socle module of a monomial ideal

Partial regularities and a∗-invariants of Borel type ideals

The $a_{0}$ -invariants of powers of a two-dimensional squarefree monomial ideal

Partial regularities and $a^{*}$ -invariants of Borel type ideals