Atıf İçin Kopyala
Bouba E. M., El-Khabchi Y., Erdemir D., Koc S., Tekir U.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.26, ss.1-14, 2025 (SCI-Expanded)
Özet
Let A" role="presentation" >A be a commutative ring with nonzero identity and I" role="presentation" >I a proper ideal of A." role="presentation" >A.I" role="presentation" >I is said to be a quasi-(2,n)" role="presentation" >(2,n)-ideal if whenever I" role="presentation" >√I is a (2,n)" role="presentation" >(2,n)-ideal of A." role="presentation" >A. In this paper, we aim to give the relations between quasi-(2,n)" role="presentation" >(2,n)-ideals and other classical ideals such as (2,n)" role="presentation" >(2,n)-ideals, n" role="presentation" >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)" role="presentation" >(2,n)-ideals.