Browsing by Author "Ulucak, Gülşen"

Now showing items 1-3 of 3

(δ, 2)-Primary Ideals of a Commutative Ring

Ulucak, Gülşen; Çelikel, Ece Yetkin (Springer Science and Business Media Deutschland GmbH, December 2)

Let R be a commutative ring with nonzero identity, let I(R) be the set of all ideals of R and δ: I(R) → I(R) an expansion of ideals of R defined by I ↦ δ(I). We introduce the concept of (δ, 2)-primary ideals in commutative ...
(δ, 2)-Primary Ideals of a Commutative Ring

Ulucak, Gülşen; Yetkin Çelikel, Ece (Springer Science and Business Media Deutschland GmbH, December 2)

In Theorem 6 of [1], if R is a von Neumann regular ring, then every 2-prime ideal of R is a prime ideal. But the converse of this implication does not hold. Thus, we correct Theorem 6 of [1] as follows: Theorem 6. Let R ...
δ-n-IDEALS OF COMMUTATIVE RINGS

Yetkin-Çelikel, Ece; Ulucak, Gülşen (University of Guilan, 2022)

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 which is an extension of n-ideals ...