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On Polynomial Functions over Finite Commutative Rings

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Abstract

Let R be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over R to be a polynomial function. Before this paper, necessary and sufficient conditions for a function to be a polynomial function over some special finite commutative local rings were obtained.

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Authors and Affiliations

  1. College of Mathematics, Sichuan University, Chengdu 610064, P. R. China

    Jian Jun Jiang

  2. College of Science, Southwest University of Science and Technology, Mianyang 621010, P. R. China

    Jian Jun Jiang

  3. College of Mathematics, Sichuan University, Chengdu 610064, P. R. China

    Guo Hua Peng, Qi Sun & Qi Fan Zhang

Authors
  1. Jian Jun Jiang
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  2. Guo Hua Peng
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  3. Qi Sun
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  4. Qi Fan Zhang
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Correspondence to Jian Jun Jiang.

Additional information

This work is supported by NSFC (No. 10128103)

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Jiang, J.J., Peng, G.H., Sun, Q. et al. On Polynomial Functions over Finite Commutative Rings. Acta Math Sinica 22, 1047–1050 (2006). https://doi.org/10.1007/s10114-005-0655-9

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  • DOI: https://doi.org/10.1007/s10114-005-0655-9

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