On quasi-(2, n)-ideals of commutative rings
Journal of Algebra and its Applications, cilt.25, sa.11, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 11
- Basım Tarihi: 2026
- Doi Numarası: 10.1142/s021949882650115x
- Dergi Adı: Journal of Algebra and its Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: (2, n) -ideal, n-ideal, quasi-(2, n) -ideal
- Marmara Üniversitesi Adresli: Evet
Özet
Let A be a commutative ring with nonzero identity and I a proper ideal of A. I is said to be a quasi-(2,n)-ideal if whenever I is a (2,n)-ideal of A. In this paper, we aim to give the relations between quasi-(2,n)-ideals and other classical ideals such as (2,n)-ideals, n-ideals and 2-absorbing quasi-primary ideals. In addition to give many properties, characterizations and examples of this new class of ideals, we also characterize some important class of rings such as UN-rings, reduced rings with at most two minimal prime ideals, integral domains, direct product of two integral domains in terms of quasi-(2,n)-ideals.