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The big Mother of all dualities 2: Macaulay bases

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Abstract

We present some interesting computational applications of Macaulay’s notion of inverse systems and Noether equations. In particular, we discuss an algorithm by Macualay which computes the forgotten notion (introduced by Emmy Noether) of reduced irreducible decomposition for ideals of the polynomial ring.

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Authors and Affiliations

  1. Departmento de Álgebra, UCM, 28040, Madrid, Spain

    María Emilia Alonso

  2. DIMA, Università di Genova, via Dodecaneso 35, 16146, Genova, Italy

    Maria Grazia Marinari

  3. DISI, Università di Genova, via Dodecaneso 35, 16146, Genova, Italy

    Teo Mora

Authors
  1. María Emilia Alonso
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  2. Maria Grazia Marinari
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  3. Teo Mora
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Corresponding author

Correspondence to Teo Mora.

Additional information

M. E. Alonso: partially supported by EU Project HPRN-CT-2002-00271 and Spanish Project GEOR-2005-02685.

M. G. Marinari partially supported by MURST and GNSAGA.

T. Mora partially supported by MURST and GNSAGA.

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Alonso, M.E., Marinari, M.G. & Mora, T. The big Mother of all dualities 2: Macaulay bases. AAECC 17, 409–451 (2006). https://doi.org/10.1007/s00200-006-0019-4

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  • DOI: https://doi.org/10.1007/s00200-006-0019-4

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