• Bounds for Regularity and Coregularity of Graded Modules

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      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

       

      Reza Sazeedeh1 2

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

       
  • Proceedings – Mathematical Sciences | News

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