IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i18p2857-d1478019.html
   My bibliography  Save this article

Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Author

Listed:
  • Azzh Saad Alshehry

    (Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Rashid Abu-Dawwas

    (Department of Mathematics, Yarmouk University, Irbid 21163, Jordan)

  • Basel Hawary

    (Department of Mathematics, Yarmouk University, Irbid 21163, Jordan)

Abstract

In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0 ≠ x y ∈ P , for some homogeneous elements x , y ∈ R , then x 2 ∈ P or y n ∈ P , for some positive integer n . Many examples and properties of Gwsq-primary ideals are given. Among several results, we compare Gwsq-primary ideals and other classical graded ideals such as graded strongly quasi primary ideals, graded weakly primary ideals and graded weakly 2-prime ideals etc.

Suggested Citation

  • Azzh Saad Alshehry & Rashid Abu-Dawwas & Basel Hawary, 2024. "Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings," Mathematics, MDPI, vol. 12(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2857-:d:1478019
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/18/2857/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/18/2857/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Malik Bataineh & Rashid Abu-Dawwas, 2021. "On Graded 2-Prime Ideals," Mathematics, MDPI, vol. 9(5), pages 1-10, February.
    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.

      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:12:y:2024:i:18:p:2857-:d:1478019. 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: 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.