IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4020-3391-9_8.html
   My bibliography  Save this book chapter

Zero-Divisor Graphs of Nearrings and Semigroups

In: Nearrings and Nearfields

Author

Listed:
  • G. Alan Cannon

    (Southeastern Louisiana University, Department of Mathematics)

  • Kent M. Neuerburg

    (Southeastern Louisiana University, Department of Mathematics)

  • Shane P. Redmond

    (Eastern Kentucky University, Department of Mathematics)

Abstract

Zero-divisor graphs of rings have been developed and explored by D. F. Anderson and Livingston, Redmond, and others ([4], [5], [15], [17]). Additionally, these ideas have been adapted to semigroups by DeMeyer, McKenzie, and Schneider [10]. Results concerning the properties of graphs of semigroups are presented. All possible zero-divisor graphs of nearrings with identity in which the graph has less than five vertices are classified, and the additive group of each nonring is identified. Following the example of [7], we include a table of nearrings with identity of orders between sixteen and thirty-one.

Suggested Citation

  • G. Alan Cannon & Kent M. Neuerburg & Shane P. Redmond, 2005. "Zero-Divisor Graphs of Nearrings and Semigroups," Springer Books, in: Hubert Kiechle & Alexander Kreuzer & Momme Johs Thomsen (ed.), Nearrings and Nearfields, pages 189-200, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3391-9_8
    DOI: 10.1007/1-4020-3391-5_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:sprchp:978-1-4020-3391-9_8. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.