Skip to main content

On the Radicals of Composition Near-Rings

  • Chapter
Near-Rings and Near-Fields
  • 150 Accesses

Abstract

Let a be α Hoehnke radical in the variety of near-rings. Using α we then define a corresponding radical for a composition near-ring C. This is done via the foundation of C (that is, the constant part of the composition.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Adler. Composition Rings, Duke Math. J. 29 (1962), 607–623.

    Article  MathSciNet  MATH  Google Scholar 

  2. S.A. Amitsur. Radicals of Polynomial Rings, Canad. J. Math. 8 (1956), 355–361.

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Kautschitsch. Maximal ideals in the near-ring of polynomials, Radical Theory, Proc. 1st Conf. Eger 1982, Colloq. Math. Soc. J. Bolyai 38 (1985), 183–193.

    MathSciNet  Google Scholar 

  4. R. Mlitz. Ein Radikal für universale Algebren und sein Anwendung auf Polynomringe mit Komposition, Monatsh. Math. 75 (1971), 144–152.

    Article  MathSciNet  MATH  Google Scholar 

  5. Q.N. Petersen. Composition near-rings. M.Sc Treatise, University of Port Elizabeth, 1995.

    Google Scholar 

  6. G. Pilz. Near-rings. North-Holland, Amsterdam. Second, revised edition, 1983.

    Google Scholar 

  7. G. Pilz and Yong-Sian So. Near-rings of polynomials and polynomial functions, J. Austral. Math. Soc. (Series A) 29 (1980), 61–70.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. De Bruyn Speegle. Sandwich composition rings. Ph. D. Dissertation, Texas A & M University, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Veldsman, S. (2001). On the Radicals of Composition Near-Rings. In: Fong, Y., Maxson, C., Meldrum, J., Pilz, G., van der Walt, A., van Wyk, L. (eds) Near-Rings and Near-Fields. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0954-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0954-6_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3802-7

  • Online ISBN: 978-94-010-0954-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics