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- Title
On weakly radical ideals of non-commutative rings.
- Authors
Groenewald, Nico
- Abstract
For a commutative ring R denote the Jacobson radical of the ring by J (R). Khashan et al. introduced and studied J-ideals and weakly J-ideals for commutative rings with identity. In this paper, let R be a non-commutative ring. We introduce weakly ρ -ideals for a special radical ρ and show that if ρ is the Jacobson radical many of the results proved by Khashan et al. are also satisfied for non-commutative rings. The results for weakly J-ideals for non-commutative rings follow as special cases of a more general situation.
- Subjects
NONCOMMUTATIVE rings; JACOBSON radical; COMMUTATIVE rings
- Publication
Journal of Algebra & Its Applications, 2023, Vol 22, Issue 12, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498823300039