Skip to main content
SpringerLink
Log in

Conditions that M A (G) is a ring

  • Chapter
Near-Rings and Near-Fields

Abstract

This note presents some necessary and sufficient conditions, without finite-ness assumption, for the centralizer near-ring M A (G) to be a ring. The result illustrates that whether M A (G) is a ring is a “local” behaviour.

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

Access this chapter

Log in via an institution
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. G. Betsch, Near-rings of group mappings, in: Oberwolfach Conference, 1976.

    Google Scholar 

  2. Y. Fong, A. Oswald, G. Pilz and K. C. Smith (eds.), Near-Ring Newsletter, National Cheng Kung Univ., Tainan, Taiwan, 1995.

    Google Scholar 

  3. C. J. Maxson, When is M A(G) a ring? in: Near-Rings and Near-Fields, Proc. Conf. on Near-Rings and Near-Fields, 1993, edited by Y. Fong et al., Kluwer Acad. Publ., Dordrecht-Boston-London, 1995, pp. 199–202.

    Google Scholar 

  4. C. J. Maxson and J. D. P. Meldrum, Centralizer representations of near-fields, J. Algebra 89 (1984), 406–415.

    Article  MathSciNet  MATH  Google Scholar 

  5. C. J. Maxson and K. C. Smith, Near-ring centralizers, in: Proc. Ninth USL Math. Conf.. Univ. Southwestern Louisiana, Lafayette, 1979.

    Google Scholar 

  6. G. Pilz, Near-Rings, 2nd revised ed., North-Holland/American Elsevier, Amsterdam, 1983.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Chinese Academy of Sciences, Beijing, 100080, China

    Fu-An Li

Authors
  1. Fu-An Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Cheng Kung University, Tainan, Taiwan, Republic of China

    Yuen Fong

  2. Department of Mathematics, Texas A & M University, College Station, Texas, USA

    Carl Maxson

  3. Department of Mathematics, University of Edinburgh, Edinburgh, Scotland

    John Meldrum

  4. Institute for Mathematics, Johannes Kepler Universität Linz, Linz, Austria

    Günter Pilz

  5. Department of Mathematics, University of Stellenbosch, Stellenbosch, South Africa

    Andries van der Walt  & Leon van Wyk  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Li, FA. (2001). Conditions that M A (G) is a ring. 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_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0954-6_13

  • 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

Search

Navigation