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A remark on polynomial function over finite commutative rings with identity

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Abstract

In the present paper, the degree of polynomial functions on a finite commutative ringR with identity is investigated. An upper bound for the degree is given (Theorem 3) with the help of a reduction formula for powers (Theorem 1).

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Authors and Affiliations

  1. Institut für Algebra u. Math. Strukturtheorie, Technische Universität Wien, Karlsplatz 13, A-1040, Wien, Austria

    Günther Eigenthaler

  2. Institut für Mathematik, Universität für Bildungs-wissenschaften, Universitätsstr. 65, A-9010, Klagenfurt, Austria

    Winfried B. Müller

Authors
  1. Günther Eigenthaler
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  2. Winfried B. Müller
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Eigenthaler, G., Müller, W.B. A remark on polynomial function over finite commutative rings with identity. Bol. Soc. Bras. Mat 10, 83–86 (1979). https://doi.org/10.1007/BF02588343

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  • DOI: https://doi.org/10.1007/BF02588343

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