Skip to main content
SpringerLink
Log in

Units of compatible nearrings

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Aichinger E.: A bound on the number of unary polynomial functions and a decidability result for near-rings. Int. J. Algebra Comput. 15, 279–289 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fong Y., Kaarli K.: Unary polynomials on a class of groups. Acta Sci. Math. 61, 139–154 (1995)

    MathSciNet  MATH  Google Scholar 

  3. Lausch H., Nöbauer W.: Algebra of Polynomials. North-Holland, Amsterdam (1973)

    MATH  Google Scholar 

  4. Lyons C., Meldrum J.: N-series and tame near-rings. Proc. R. Soc. Edinb. 86A, 153–173 (1980)

    MathSciNet  Google Scholar 

  5. Peterson G.: Projection idempotents in nearrings. Algebra Colloq. 10, 209–218 (2003)

    MathSciNet  MATH  Google Scholar 

  6. Peterson G.: Centralizers and the isomorphism problem for nearrings. Math. Pannon. 17, 3–16 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Peterson G.: Some problems in the theory of nearring modules. Math. Pannon. 20, 109–121 (2009)

    MathSciNet  MATH  Google Scholar 

  8. Peterson G.: The idempotent quiver of a nearring. Algebra Colloq. 16, 463–478 (2009)

    MathSciNet  MATH  Google Scholar 

  9. Peterson, G.: Compatible extensions of nearrings. Monatsh. Math. (to appear)

  10. Pilz G.: Near-rings, Revised Edition. North-Holland, Amsterdam (1983)

    Google Scholar 

  11. Scott S.: Tame near-rings and N-groups. Proc. Edinb. Math. Soc. 23, 275–296 (1980)

    Article  MATH  Google Scholar 

  12. Scott S.: N-Solubility and N-nilpotency in tame N-groups. Algebra Colloq. 5, 425–448 (1998)

    MathSciNet  MATH  Google Scholar 

  13. Scott S.: Tame fusion. Algebra Colloq. 10, 543–566 (2003)

    MathSciNet  MATH  Google Scholar 

  14. Scott S.: The Z-constrained conjecture. In: Kiechle, H., Kreuzer, A., Thomsen, M. (eds) Nearrings and Nearfields, pp. 69–168. Springer, Dordrecht (2005)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Algebra, Johannes Kepler Universität, 4040, Linz, Austria

    Erhard Aichinger & Peter Mayr

  2. School of Mathematics, University of Edinburgh, Mayfield Rd., Edinburgh, EH9 3JZ, Scotland, UK

    John D. P. Meldrum

  3. Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA, 22807, USA

    Gary L. Peterson

  4. Department of Mathematics, University of Auckland, Auckland, New Zealand

    Stuart D. Scott

Authors
  1. Erhard Aichinger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter Mayr
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. John D. P. Meldrum
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Gary L. Peterson
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Stuart D. Scott
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gary L. Peterson.

Additional information

Communicated by J.S. Wilson.

This paper was supported by the “Fonds zur Foerderung der wissenschaftlichen Forschung (FWF)”, Project no. P19463-N18.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aichinger, E., Mayr, P., Meldrum, J.D.P. et al. Units of compatible nearrings. Monatsh Math 164, 119–132 (2011). https://doi.org/10.1007/s00605-010-0193-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00605-010-0193-0

Keywords

Mathematics Subject Classification (2000)

Search

Navigation