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A note on the regularity of Hibi rings

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Abstract

We compute the regularity of the Hibi ring of any finite distributive lattice in terms of its poset of join irreducible elements.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527, Constanţa, Romania

    Viviana Ene

  2. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Group of the Project ID-PCE-2011-1023, P.O. Box 1-764, 014700, Bucharest, Romania

    Viviana Ene

  3. Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117, Essen, Germany

    Jürgen Herzog

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

    Sara Saeedi Madani

Authors
  1. Viviana Ene
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  2. Jürgen Herzog
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  3. Sara Saeedi Madani
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Corresponding author

Correspondence to Jürgen Herzog.

Additional information

The first author was supported by the Grant UEFISCDI, PN-II-ID-PCE- 2011-3-1023.

The research of the third author was supported by a Grant from IPM. The paper was written while the third author was visiting the Department of Mathematics of University Duisburg-Essen. She wants to express her thanks for its hospitality.

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Ene, V., Herzog, J. & Saeedi Madani, S. A note on the regularity of Hibi rings. manuscripta math. 148, 501–506 (2015). https://doi.org/10.1007/s00229-015-0752-8

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  • DOI: https://doi.org/10.1007/s00229-015-0752-8

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