Skip to main content
SpringerLink
Log in

On annihilators of polynomial near-rings

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

Let R be a ring and let R 0[x] be the polynomial near-ring over R. We study relations between the set of annihilators in R and the set of annihilators in R 0[x].

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. G. F. Birkenmeier and Feng-kuo Huang, “Annihilator conditions on polynomials,” Comm. Algebra 29(5), 2097–2112 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  2. G. F. Birkenmeier and Feng-kuo Huang, “Annihilator conditions on polynomials. II,” Monatsh. Math. 141(4), 265–276 (2004).

    Article  MathSciNet  MATH  Google Scholar 

  3. Y. Hirano, “On annihilator ideals of a polynomial ring over a noncommutative ring,” J. Pure Appl. Algebra 168(1), 45–52 (2002).

    Article  MathSciNet  MATH  Google Scholar 

  4. H. Tominaga, “On s-unital rings,” Math. J. Okayama Univ. 18(2), 117–134 (1976).

    MathSciNet  MATH  Google Scholar 

  5. B. Stenström, Rings of Quotients: An Introduction to Methods of Ring Theory, in Grundlehren Math. Wiss. (Springer-Verlag, Berlin, 1975), Vol. 217.

    Google Scholar 

  6. G. Marks, “A taxonomy of 2-primal rings,” J. Algebra 266(2), 494–520 (2003).

    Article  MathSciNet  MATH  Google Scholar 

  7. A. Pollingher and A. Zaks, “On Baer and quasi-Baer rings,” Duke Math. J. 37(1), 127–138 (1970).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Toosi University of Technology, Tehran, Iran

    Sh. Ghalandarzadeh, P. Malakooti Rad & S. Shirinkam

Authors
  1. Sh. Ghalandarzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Malakooti Rad
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Shirinkam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sh. Ghalandarzadeh.

Additional information

Published in Russian in Matematicheskie Zametki, 2011, Vol. 89, No. 3, pp. 342–349.

The text was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghalandarzadeh, S., Rad, P.M. & Shirinkam, S. On annihilators of polynomial near-rings. Math Notes 89, 328–335 (2011). https://doi.org/10.1134/S0001434611030035

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434611030035

Keywords

Search

Navigation