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On the f-Prime Radical of Near-Rings

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Nearrings and Nearfields

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Abstract

The f-prime radical rf of 0-symmetric near-rings is an idempotent Hoehnke radical; either rf(N)=0 or rf(N)=β(N) the prime radical. The radical classes of rf and β coincide. In a universal class of near-rings, if the f-prime radical is complete then rf=β.

The first author is thankful for the 3 months study leave payed at the A. Rényi Institute of Mathematics under the auspices of the Indo-Hungarian Cultural Exchange Programme and to the Acharya Nagarjuna University for encouragement.

Research supported by the Hungarian OTKA Grant # T043034

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, 522510 A. P., India

    Satyanarayana Bhavanari

  2. A. Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, H-1364, Budapest, Hungary

    Richard Wiegandtt

Authors
  1. Satyanarayana Bhavanari
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  2. Richard Wiegandtt
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Editor information

Editors and Affiliations

  1. Universität Hamburg, Germany

    Hubert Kiechle  & Alexander Kreuzer  & 

  2. Universität der Bundeswehr Hamburg, Germany

    Momme Johs Thomsen

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© 2005 Springer

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Bhavanari, S., Wiegandtt, R. (2005). On the f-Prime Radical of Near-Rings. In: Kiechle, H., Kreuzer, A., Thomsen, M.J. (eds) Nearrings and Nearfields. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3391-5_16

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