Generalizations of graded S-primary ideals


  • Tamem Al-shorman Jordan University of Science and Technology.
  • Malik Bataineh Jordan University of Science and Technology.
  • Rashid Abu-dawwas Yarmouk University.



graded weakly S-prime ideals, weakly S-primary ideals, graded weakly primary ideals, graded S-primary ideals, graded weakly S-primary ideals


The goal of this article is to present the graded weakly S-primary ideals and graded g-weakly S-primary ideals which are extensions of graded weakly primary ideals. We state P is a graded weakly S-primary ideal of R if there exists s ∈ S such that for all x,y ∈ h(R), if 0 ̸= xy ∈ P, then sx ∈ P or sy ∈ Grad(P). Several properties and characteristics of graded weakly S-primary ideals as well as graded g-weakly S-primary ideals are investigated.

Author Biographies

Tamem Al-shorman, Jordan University of Science and Technology.

Department of Mathematics and Statistics.

Malik Bataineh, Jordan University of Science and Technology.

Department of Mathematics and Statistics.

Rashid Abu-dawwas, Yarmouk University.

Department of Mathematics.


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How to Cite

T. Al-shorman, M. . Bataineh, and R. . Abu-dawwas, “Generalizations of graded S-primary ideals”, Proyecciones (Antofagasta, On line), vol. 41, no. 6, pp. 1353-1376, Nov. 2022.