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On the structure of sequentially Cohen-Macaulay bigraded modules

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Abstract

Let K be a field and S = K[x 1, …, x m , y 1,…, y n ] be the standard bigraded polynomial ring over K. In this paper, we explicitly describe the structure of finitely generated bigraded “sequentially Cohen-Macaulay” S-modules with respect to Q = (y 1, …, y n ). Next, we give a characterization of sequentially Cohen-Macaulay modules with respect to Q in terms of local cohomology modules. Cohen-Macaulay modules that are sequentially Cohen-Macaulay with respect to Q are considered.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Razi University, Baghe Abrisham, Kermanshah, Iran

    Leila Parsaei Majd & Ahad Rahimi

  2. Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, P.O.Box: 16785-136, Tehran, Iran

    Leila Parsaei Majd

  3. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O.Box: 19395-5746, Tehran, Iran

    Ahad Rahimi

Authors
  1. Leila Parsaei Majd
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  2. Ahad Rahimi
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Correspondence to Leila Parsaei Majd.

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Majd, L.P., Rahimi, A. On the structure of sequentially Cohen-Macaulay bigraded modules. Czech Math J 65, 1011–1022 (2015). https://doi.org/10.1007/s10587-015-0224-z

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  • DOI: https://doi.org/10.1007/s10587-015-0224-z

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