ON WEAKLY S-ρ-IDEALS IN NONCOMMUTATIVE RINGS
Gulf Journal of Mathematics, cilt.18, sa.2, ss.1-15, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.56947/gjom.v18i2.2221
- Dergi Adı: Gulf Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.1-15
- Anahtar Kelimeler: and phrases. weakly S-ρ-ideal, m-system, noncommutative ring, S-ρ-ideal, special radical classes
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
Let R be a noncommutative ring, and φ ≠ S ⊆ R be an m-system of R. In this paper, we extend the concept of weakly prime ideals in noncommutative rings by introducing weakly S-ρ-ideals. This generalization builds on the notions of right S-prime, weakly S-n-ideals and S-ρ-ideals. We present equivalent definitions and key properties of weakly S-ρ-ideals. We also explore with the method of idealization how the weakly S-ρ-ideal property transfers to related rings and construct such ideals. On the other hand we give a generalization of S-J-ideals which were introduced in [12].