• Bounds for Regularity and Coregularity of Graded Modules

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/117/04/0429-0441

• # Keywords

Graded local cohomology modules; regularity; coregularity.

• # Abstract

Let 𝑀 be a finitely generated graded module over a Noetherian homogeneous ring 𝑅 with local base ring $(R_0,\mathfrak{m}_0)$. If $R_0$ is of dimension one, then we show that $\mathrm{reg}^i+1(M)$ and $\mathrm{coreg}^{i+1}(M)$ are bounded for all $i\in\mathbb{N}_0$. We improve these bounds, if in addition, $R_0$ is either regular or analytically irreducible of unequal characteristic.

• # Author Affiliations

1. Department of Mathematics, Urmia University, Urmia, Iran
2. Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019