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s-Sequences and symmetric algebras

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Abstract:

In this paper we introduce the concept of s-sequences in order to study the symmetric algebra of a module. It is explained how s-sequences are related to d-sequences. The theory is applied to study the symmetric algebra of generic modules. We also compute the Gröbner basis of the defining ideals of these symmetric algebras.

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Authors and Affiliations

  1. FB6 Mathematik und Informatik, Universität – GHS – Essen, Postfach 103764, 45117 Essen, Germany. e-mail: juergen.herzog@uni-essen.de, , , , , , DE

    Jürgen Herzog

  2. Departimento di Matematica, Universita di Messina, Contrada Papardo salita Sperone 3, 98166 Sant'Agata, Messina, Italia. \email{grest@imeuniv.unime.it, , , , , , IT

    Gaetana Restuccia

  3. Department of Mathematics, Suzhou University, Suzhou 215006, P.R. China.¶e-mail: zmtang@suda.edu.cn, , , , , , CN

    Zhongming Tang

Authors
  1. Jürgen Herzog
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  2. Gaetana Restuccia
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  3. Zhongming Tang
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Additional information

Received: 12 September 2000 / Accepted: 26 January 2001

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Herzog, J., Restuccia, G. & Tang, Z. s-Sequences and symmetric algebras. manuscripta math. 104, 479–501 (2001). https://doi.org/10.1007/s002290170022

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  • DOI: https://doi.org/10.1007/s002290170022

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