• Reza Sazeedeh

      Articles written in Proceedings – Mathematical Sciences

    • Bounds for Regularity and Coregularity of Graded Modules

      Reza Sazeedeh

      More Details Abstract Fulltext PDF

      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.

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