IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i9p1444-d405466.html
   My bibliography  Save this article

Octahedron Subgroups and Subrings

Author

Listed:
  • Jeong-Gon Lee

    (Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea)

  • Young Bae Jun

    (Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

  • Kul Hur

    (Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea)

Abstract

In this paper, we define the notions of i -octahedron groupoid and i -OLI [resp., i -ORI and i -OI], and study some of their properties and give some examples. Also we deal with some properties for the image and the preimage of i -octahedron groupoids [resp., i -OLI, i -ORI and i -OI] under a groupoid homomorphism. Next, we introduce the concepts of i -octahedron subgroup and normal subgroup of a group and investigate some of their properties. In particular, we obtain a characterization of an i -octahedron subgroup of a group. Finally, we define an i -octahedron subring [resp., i -OLI, i -ORI and i -OI] of a ring and find some of their properties. In particular, we obtain two characterizations of i -OLI [resp., i -ORI and i -OI] of a ring and a skew field, respectively.

Suggested Citation

  • Jeong-Gon Lee & Young Bae Jun & Kul Hur, 2020. "Octahedron Subgroups and Subrings," Mathematics, MDPI, vol. 8(9), pages 1-32, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1444-:d:405466
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/9/1444/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/9/1444/
    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:9:p:1444-:d:405466. 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.