The structure of S-semiprime ideals and submodules in noncommutative rings
Communications in Algebra, cilt.53, sa.12, ss.5315-5327, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 53 Sayı: 12
- Basım Tarihi: 2025
- Doi Numarası: 10.1080/00927872.2025.2509830
- Dergi Adı: Communications in Algebra
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.5315-5327
- Anahtar Kelimeler: Prime ideals, S-prime submodules, S-pseudo radical, S-semiprime ideals, S-semiprime submodules, semiprime ideals
- Çukurova Üniversitesi Adresli: Evet
Özet
This paper introduces the concept of right S-semiprime ideals and right S-semiprime submodules in the context of noncommutative rings. We investigate the properties of right S-semiprime ideals (submodules), providing multiple equivalent definitions and exploring their relationship with classical semiprime ideals (submodules). Key results include the definitions and characterizations of S-radical and S-pseudo radical concepts for ideals. The paper concludes with new insights into the structure of right S-semiprime submodules.