ASLANKARAYİĞİT UĞURLU, EMEL2023-09-122023-09-122022-12-01Anebri A., Mahdou N., ASLANKARAYİĞİT UĞURLU E., "ON QUASI n-IDEALS OF COMMUTATIVE RINGS", CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.72, sa.4, ss.1133-1144, 20220011-4642https://link.springer.com/article/10.21136/CMJ.2022.0365-21https://hdl.handle.net/11424/293245Let R be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of n-ideals and the class of (2, n)-ideals. A proper ideal I of R is said to be a quasi n-ideal if root I is an n-ideal of R. Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the n-ideals, the quasi primary ideals, the (2, n)-ideals and the pr-ideals. Moreover, we use the quasi n-ideals to characterize some kind of rings. Finally, we investigate quasi n-ideals under various contexts of constructions such as direct product, power series, idealization, and amalgamation of a ring along an ideal.enginfo:eu-repo/semantics/openAccessMatematikTemel Bilimler (SCI)MATHEMATICSNatural Sciences (SCI)AnalizCebir ve Sayı TeorisiMatematik (çeşitli)Genel MatematikFizik BilimleriAnalysisAlgebra and Number TheoryMathematics (miscellaneous)General MathematicsPhysical Sciencesn-idealquasi n-ideal(2, n)-ideal13A1513A18n-idealquasi n-ideal(2n)-idealarticle7241133114410.21136/cmj.2022.0365-21