IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/2154745.html
   My bibliography  Save this article

The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals

Author

Listed:
  • Worachead Sommanee

Abstract

Let be the full transformation semigroup on a set . For a fixed nonempty subset of a set , let be the semigroup consisting of all full transformations from into . In a paper published in 2008, Sanwong and Sommanee proved that the set is the largest regular subsemigroup of . In this paper, we describe the maximal inverse subsemigroups of and completely determine all the maximal regular subsemigroups of its ideals.

Suggested Citation

  • Worachead Sommanee, 2018. "The Regular Part of a Semigroup of Full Transformations with Restricted Range: Maximal Inverse Subsemigroups and Maximal Regular Subsemigroups of Its Ideals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-9, May.
  • Handle: RePEc:hin:jijmms:2154745
    DOI: 10.1155/2018/2154745
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2018/2154745.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/IJMMS/2018/2154745.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2018/2154745?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
    ---><---

    References listed on IDEAS

    as
    1. Jintana Sanwong & Worachead Sommanee, 2008. "Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-11, November.
    2. Nenthein, S., Youngkhong, P. & Kemprasit, Y., 2005. "Regular elements of some transformation semigroups," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 16(3), pages 307-314.
    Full references (including those not matched with items on IDEAS)

    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. Kitsanachai Sripon & Ekkachai Laysirikul & Worachead Sommanee, 2023. "Left (Right) Regular Elements of Some Transformation Semigroups," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    2. Chollawat Pookpienlert & Preeyanuch Honyam & Jintana Sanwong, 2018. "Green’s Relations on a Semigroup of Transformations with Restricted Range that Preserves an Equivalence Relation and a Cross-Section," Mathematics, MDPI, vol. 6(8), pages 1-12, August.
    3. Lei Sun, 2018. "Regularity and Green's Relations for Generalized Semigroups of Transformations with Invariant Set," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 24-28, April.

    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:hin:jijmms:2154745. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.