IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/754019.html
   My bibliography  Save this article

Principal Mappings between Posets

Author

Listed:
  • Yuan Ting Nai
  • Dongsheng Zhao

Abstract

We introduce and study principal mappings between posets which generalize the notion of principal elements in a multiplicative lattice, in particular, the principal ideals of a commutative ring. We also consider some weaker forms of principal mappings such as meet principal, join principal, weak meet principal, and weak join principal mappings which also generalize the corresponding notions on elements in a multiplicative lattice, considered by Dilworth, Anderson and Johnson. The principal mappings between the lattices of powersets and chains are characterized. Finally, for any PID , it is proved that a mapping is a contractive principal mapping if and only if there is a fixed ideal such that for all . This exploration also leads to some new problems on lattices and commutative rings.

Suggested Citation

  • Yuan Ting Nai & Dongsheng Zhao, 2014. "Principal Mappings between Posets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jijmms:754019
    DOI: 10.1155/2014/754019
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/754019.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/754019.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/754019?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
    ---><---

    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:754019. 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: 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.