Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Azzh Saad Alshehry, Rashid Abu-Dawwas () and Basel Hawary
Additional contact information
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

Mathematics, 2024, vol. 12, issue 18, 1-10

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.

Keywords: Graded primary ideal; Graded weakly primary ideal; Graded quasi primary ideal; Graded weakly 2-prime ideal; Graded strongly quasi primary ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/18/2857/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/18/2857/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:18:p:2857-:d:1478019

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().