IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i2p247-d320542.html
   My bibliography  Save this article

Integral Domains in Which Every Nonzero w -Flat Ideal Is w -Invertible

Author

Listed:
  • Hwankoo Kim

    (Division of Computer and Information Engineering, Hoseo University, Asan 31499, Korea)

  • Jung Wook Lim

    (Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 41566, Korea)

Abstract

Let D be an integral domain and w be the so-called w -operation on D . We define D to be a w -FF domain if every w -flat w -ideal of D is of w -finite type. This paper presents some properties of w -FF domains and related domains. Among other things, we study the w -FF property in the polynomial extension, the t -Nagata ring and the pullback construction.

Suggested Citation

  • Hwankoo Kim & Jung Wook Lim, 2020. "Integral Domains in Which Every Nonzero w -Flat Ideal Is w -Invertible," Mathematics, MDPI, vol. 8(2), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:247-:d:320542
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/2/247/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/2/247/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:8:y:2020:i:2:p:247-:d:320542. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.