IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v42y2011i5d10.1007_s13226-011-0023-7.html
   My bibliography  Save this article

Annihilator condition on power values of derivations

Author

Listed:
  • Basudeb Dhara

    (Belda College)

Abstract

Let R be a prime ring, d, δ two derivations of R, L a noncentral Lie ideal of R and 0 ≠ a ∈ R. The main object in this paper is to discuss the situations a (d (x)x − xδ (x)) n = 0 for all x ∈ L and a (d (x)x − xδ (x)) ∈ Z (R) for all x ∈ L, where n ≥ 1 is a fixed integer.

Suggested Citation

  • Basudeb Dhara, 2011. "Annihilator condition on power values of derivations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 42(5), pages 357-369, October.
  • Handle: RePEc:spr:indpam:v:42:y:2011:i:5:d:10.1007_s13226-011-0023-7
    DOI: 10.1007/s13226-011-0023-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-011-0023-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s13226-011-0023-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nurcan Argac & Vincenzo Filippis, 2010. "Cocentralizing derivations and nilpotent values on Lie ideals," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(3), pages 475-483, June.
    2. Basudeb Dhara, 2009. "Vanishing Power Values of Commutators with Derivations on Prime Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-8, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Basudeb Dhara & Nurcan Argaç & Krishna Gopal Pradhan, 2016. "Annihilator condition of a pair of derivations in prime and semiprime rings," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 111-124, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Basudeb Dhara & Nurcan Argaç & Krishna Gopal Pradhan, 2016. "Annihilator condition of a pair of derivations in prime and semiprime rings," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 111-124, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:indpam:v:42:y:2011:i:5:d:10.1007_s13226-011-0023-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.