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Norms on R[X 1, ... , X r ] Which Are Multiplicative on R

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Abstract.

Let R be a commutative ring with identity, and let | | be a non-trivial absolute value on R. We study the R-algebra norms on the polynomial algebra R[X 1, ... , X r ] which extend | |.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Civil Engineering, Lacul Tei 124, Sec. 2, RO-020396, Bucharest, Romania

    Ghiocel Groza

  2. Romanian Academy, Institute of Mathematics, P.O. Box 1-764, RO-70700, Bucharest, Romania

    Nicolae Popescu

  3. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA

    Alexandru Zaharescu

Authors
  1. Ghiocel Groza
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  2. Nicolae Popescu
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  3. Alexandru Zaharescu
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Corresponding author

Correspondence to Ghiocel Groza.

Additional information

The research of the second author was partially supported by CERES Program of the Romanian Ministry of Education, Youth and Research, Contract no. 39/2002.

Received: March 22, 2007. Revised: October 2, 2007.

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Groza, G., Popescu, N. & Zaharescu, A. Norms on R[X 1, ... , X r ] Which Are Multiplicative on R . Result. Math. 51, 229–247 (2008). https://doi.org/10.1007/s00025-007-0273-1

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  • DOI: https://doi.org/10.1007/s00025-007-0273-1

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