Let R be a commutative ring with 1≠ 0 and S be a multiplicatively closed subset of R. We
call an ideal I of R disjoint with S quasi-S-primary if there exists an s∈ S such that whenever …

Let f: A→ B be a ring homomorphism and let Jbe an ideal of B. We proved some results
concerning n-ideals and (2; n)-ideals of A⋈^ f J. Then we recall a proper ideal I of A as√(δ …

In this note, we introduce and study the concept of a semi-strongly irreducible ideal, a
natural generalization of a strongly irreducible ideal. We say an ideal I of a commutative ring …

In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative
ring R with identity. This concept is a generalization of the concept of a fuzzy strongly …

Let $ R $ be a commutative ring with non-zero identity, and $\delta:\mathcal {I
(R)}\rightarrow\mathcal {I (R)} $ be an ideal expansion where $\mathcal {I (R)} $ is the set of …

Let $ R $ be a commutative ring with nonzero identity, and $\delta:\mathcal {I (R)}\rightarrow\
mathcal {I (R)} $ be an ideal expansion where $\mathcal {I (R)} $ the set of all ideals of $ R …

Let R be a commutative ring with non-zero identity, and δ: I (R)→ I (R) be an ideal expansion
where I (R) is the set of all ideals of R. In this paper, we introduce the concept of δ-n-ideals …

In this paper, the concepts of-sequence prime ideal and-sequence quasi prime ideal are
introduced. Some properties of such ideals are investigated. The relations between …

In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative
ring R with identity. This concept is a generalization of the concept of a fuzzy strongly …

All rings are commutative with 1 ̸= 0. The purpose of this paper is to investigate the concept
of weakly 2-irreducible ideals generalizing weakly irreducible ideals and strongly 2 …