On quasi-(2, n)-ideals of commutative rings

Bouba E. M., El-Khabchi Y., ERDEMİR D., KOÇ S., TEKİR Ü.

Journal of Algebra and its Applications, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • 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.