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Generalized mixed product ideals

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Abstract

We consider classes of ideals which generalize the mixed product ideals introduced by Restuccia and Villarreal (see [5]), and also generalize the expansion construction by Bayati and Herzog [1]. We compute the minimal graded free resolution of generalized mixed product ideals and show that the regularity of a generalized mixed product ideal coincides with the regularity of the monomial ideal by which it is induced.

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References

  1. S. Bayati and J. Herzog, Expansion of monomial ideals and multigraded modules, Rocky Mountain J. Math. (2014, to appear). arXiv:1205.3599v1.

  2. Conca A., De Negri E.: M-sequences, graph ideals, and ladder ideals of linear type. J. Algebra 211, 599–624 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  3. Hoa T., Tam N.: On some invariants of a mixed product idals. Arch. Math. 94, 327–337 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  4. C. Ionescu and G. Rinaldo, Some algebraic invariants related to mixed product ideals, Arch. Math. 91 (2008), 20–30.

  5. Restuccia G., Villarreal R.: On the normality of monomial ideals of mixed products. Commun. Algebra 29, 3571–3580 (2001)

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  6. Rinaldo G.: Betti numbers of mixed product ideals. Arch. Math. 91, 416–426 (2008)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

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

    Jürgen Herzog

  2. Department of Mathematics, Science and Research Branch of Islamic Azad University, Tehran, Iran

    Roya Moghimipor

  3. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

    Siamak Yassemi

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

    Siamak Yassemi

Authors
  1. Jürgen Herzog
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  2. Roya Moghimipor
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  3. Siamak Yassemi
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Corresponding author

Correspondence to Jürgen Herzog.

Additional information

The second author wants to thank the University of Duisburg-Essen for its hospitality during the preparation of this work. The third author wants to thank the University of Tehran for partial support.

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Herzog, J., Moghimipor, R. & Yassemi, S. Generalized mixed product ideals. Arch. Math. 103, 39–51 (2014). https://doi.org/10.1007/s00013-014-0663-z

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  • DOI: https://doi.org/10.1007/s00013-014-0663-z

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