IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i8p1822-d1121327.html
   My bibliography  Save this article

Two Generalizations of the Core Inverse in Rings with Some Applications

Author

Listed:
  • San-Zhang Xu

    (Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China)

  • Julio Benítez

    (Instituto de Matemática Multidisciplinar, Universitat Politècnica de Vaència, 46022 Valencia, Spain)

  • Ya-Qian Wang

    (Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China)

  • Dijana Mosić

    (Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia)

Abstract

In this paper, we introduce two new generalized core inverses, namely, the ( p , q , m ) -core inverse and the ⟨ p , q , n ⟩ -core inverse; both extend the inverses of the ⟨ i , m ⟩ -core inverse, the ( j , m ) -core inverse, the core inverse, the core-EP inverse and the DMP -inverse.

Suggested Citation

  • San-Zhang Xu & Julio Benítez & Ya-Qian Wang & Dijana Mosić, 2023. "Two Generalizations of the Core Inverse in Rings with Some Applications," Mathematics, MDPI, vol. 11(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1822-:d:1121327
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/8/1822/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/8/1822/
    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:11:y:2023:i:8:p:1822-:d:1121327. 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.