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Full ideals of polynomial rings

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Abstract

An idealI of the ringK[x 1, ...,x n ] of polynomials over a fieldK inn indeterminates is a full ideal ifI is closed under substitution,f εI,g 1...gn εK[x 1, ...,x n ] implyf(g 1, ...,g n ) εI. In this paper we continue the investigation of full ideals ofK[x 1, ...,x n ]. In particular we determine several classes of full ideals ofK[x, y] (K a finite field) and investigate properties of these classes.

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Authors and Affiliations

  1. Mathematisches Institut, Technische Universität München, 80290, München, Germany

    Alexander Kreuzer

  2. Department of Mathematics, Texas A & M University, 77843-3368, College Station, TX, USA

    Carl J. Maxson

Authors
  1. Alexander Kreuzer
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  2. Carl J. Maxson
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The first author gratefully acknowledges support from theDeutsche Forschungsgemeinschaft

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Kreuzer, A., Maxson, C.J. Full ideals of polynomial rings. Monatshefte für Mathematik 125, 315–326 (1998). https://doi.org/10.1007/BF01305346

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  • DOI: https://doi.org/10.1007/BF01305346

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