Work

Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Year: 2024

Type: article

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≠xy∈P, for some homogeneous elements x,y∈R, then x2∈P or yn∈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.

Source: Mathematics

DOI: 10.3390/math12182857

Authors: Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary

Institutions: Princess Nourah bint Abdulrahman University, Yarmouk University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Princess Nourah Bint Abdulrahman University