IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4899-2608-1_24.html
   My bibliography  Save this book chapter

Completely Regular Semigroups

In: Lattices, Semigroups, and Universal Algebra

Author

Listed:
  • Norman R. Reilly

    (Simon Fraser University, Department of Mathematics and Statistics)

Abstract

A semigroup S is completely regular if and only if it is a disjoint union of groups. This concept, so simple in its formulation, has intrigued investigators for over forty years. In the early days, the underlying proposition was that the theory of such objects must necessarily be readily derivable from that for groups. The early work of Rees and Clifford gave some support to this notion. However, the work of recent years, especially that on varieties, has shown that the study of completely regular semigroups requires its own ingenious arsenal of tools.

Suggested Citation

  • Norman R. Reilly, 1990. "Completely Regular Semigroups," Springer Books, in: Jorge Almeida & Gabriela Bordalo & Philip Dwinger (ed.), Lattices, Semigroups, and Universal Algebra, pages 225-242, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2608-1_24
    DOI: 10.1007/978-1-4899-2608-1_24
    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

    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:978-1-4899-2608-1_24. 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.