Skip to main content
SpringerLink
Log in

D. G. near rings on certain groups

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract

All the distributive near rings in which the index ofR′ inR is a prime have been determined. Certain d. g. near rings in whichR′ is the only normal subgroup ofR are also considered. It is also shown that if (R,+) is finite and not perfect then there is a distributive near ring in whichR 2∈0.

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

Similar content being viewed by others

References

  1. Blackett, D. W.: Simple and semi simple near rings. Proc. Amer. Math. Soc.4, 772–785 (1953).

    Google Scholar 

  2. Ligh, S.: Near-rings with identities on certain groups. Mh. Math.75, 38–43 (1971).

    Google Scholar 

  3. Ligh, S.: D. G. near rings on certain groups. Mh. Math.75, 244–249 (1971).

    Google Scholar 

  4. Ligh, S.: On the additive groups of finite near integral domains and simple d. g. near-rings. Mh. Math.76, 317–322 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics College of Art and Sciences, Southeastern Massachusetts University, 02747, North Dartmouth, MA, USA

    A. J. Chandy

Authors
  1. A. J. Chandy
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandy, A.J. D. G. near rings on certain groups. Monatshefte für Mathematik 86, 101–105 (1978). https://doi.org/10.1007/BF01320203

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01320203

Keywords

Search

Navigation