On graded 2-absorbing primal ideals

Authors

  • Tamem Al-shorman King Fahd University of Petroleum and Minerals.
  • Malik Bataineh Jordan University of Science and Technology.

DOI:

https://doi.org/10.22199/issn.0717-6279-5695

Keywords:

Graded 2-absorbing primal ideal, Graded 2-absorbing ideal, Graded prime ideal, Graded primary ideal

Abstract

Let R be G-graded ring. In this paper, we introduce and devoted to the concept of graded 2-absorbing primal ideal of R which is a generalization of graded primal ideal. These ideals and their homogeneous components are given some features and characterizations.

References

Abu-Dawwas R, and Bataineh M. Graded r-ideals. Iranian Journal of Mathematical Sciences and Informatics 2019, 14(2), 1-8.

Atani S. E, and Darani A. Y. Graded primal ideals. 2011.

Refai M. Graded radicals and graded prime spectra. Far East journal of mathematical sciences 2000, 59-73.

Refai M, and Al-Zoubi K. On graded primary ideals. Turkish journal of mathematics 2004, 28(3), 217-230.

Al-Zoubi K, Abu-Dawwas, and C ̧ eken S. On graded 2-absorbing and graded weakly 2-absorbing ideals. Hacettepe journal of mathematics and statistics 2019, 48(3), 724-731.

Published

2024-05-20

How to Cite

[1]
T. Al-shorman and M. . Bataineh, “On graded 2-absorbing primal ideals”, Proyecciones (Antofagasta, On line), vol. 43, no. 3, pp. 695-706, May 2024.

Issue

Section

Artículos