Quasi-sdf-absorbing ideals in commutative rings
Journal of Algebra and its Applications, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s021949882644007x
- Dergi Adı: Journal of Algebra and its Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Technology Collection (ProQuest)
- Anahtar Kelimeler: quasi-sdf-absorbing ideal, Square-difference factor absorbing ideal, square-difference factor absorbing primary ideal
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
In this paper, we introduce and study quasi-sdf-absorbing ideals, a generalization of sdf-absorbing ideals. We investigate the stability of this property under various constructions, including localizations, surjective images, Nagata idealizations, and amalgamations. We establish conditions under which the radical of such ideals is prime and discuss a specific class of rings where quasi-sdf-absorption implies the sdf-absorbing primary property. The study concludes with a classification of these ideals in (Formula presented) and examples distinguishing them from related ideal classes.