• Bounds for Regularity and Coregularity of Graded Modules

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    • 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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      Posted on July 25, 2019

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