S-weakly prime ideals in noncommutative rings

Creative Commons License

Çay H., Ersoy B. A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.77, sa.5, ss.369-370, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3842/umzh.v77i5.8391
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.369-370
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Medipol Üniversitesi Adresli: Evet

Özet

Let  be a noncommutative ring.  The works by Hirano et al. and Groenewald (see [Bull. Korean Math. Soc., 47, No. 5, 1077–1087 (2010)] and [Int. Electron. J. Algebra, 28, 43–68 (2020)]), were devoted to the investigation of weakly prime ideals in  noncommutative rings. In this work, we generalize  their findings by introducing the concept of -weakly prime ideals via taking  as an -system, which is also a generalization of the concept of right -prime ideals first introduced in [Mediterran.  J. Math., 21, No. 2, Article 43 (2024)].