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Near-rings of polynomials overΩ-groups

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Abstract

IfV is a variety of Ω-groups and ifG∈V then one can study the algebraG V[x] of polynomials overG andx inV. With respect to addition and substitution,G V[x] is a near-ring. Its zero-symmetric part can excellently be used to describe generated ideals. Also, we study maximal left ideals and get a general result on the structure ofG V[V].

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Authors and Affiliations

  1. Institut für Mathematik, Johannes Kepler Universität Linz, A-4040, Linz, Austria

    Günter Pilz & Yong-Sian So

Authors
  1. Günter Pilz
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  2. Yong-Sian So
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Additional information

This study was kindly supported by the Austrian “Fonds zur Förderung der wissenschaftlichen Forschung” (Projekt Nr. 3479).

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Pilz, G., So, YS. Near-rings of polynomials overΩ-groups. Monatshefte für Mathematik 91, 73–76 (1981). https://doi.org/10.1007/BF01306957

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  • DOI: https://doi.org/10.1007/BF01306957

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