Cheng Meng

collaborators

3 papers

math.AC2025

Finiteness and infiniteness of gradings of Noetherian rings

Cheng Meng

In this paper we show that for a torsion-free abelian group $G$ , $rank_{Z} G < \infty$ if and only if there exists a Noetherian $G$ -graded ring $R$ such that the…

math.AC2025

Restrictions on Hilbert coefficients give depths of graded domains

Cheng Meng

In this paper, we prove that if $P$ is a homogeneous prime ideal inside a standard graded polynomial ring $S$ with $dim (S / P) = d$ , and for $s \leq d$ , adjoining $s$ general linear f…

math.AC2024

Asymptotic colengths for families of ideals: an analytic approach

Sudipta Das, Cheng Meng

This article focuses on the existence of asymptotic colengths for families of $\fm_{R}$-primary ideals in a Noetherian local ring $(R,\fm)$. In any characteristic, we generalize gr…