Browsing by Author "Yetkin Çelikel, Ece"

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Clean graph of a ring

Habibi, Mohammad; Yetkin Çelikel, Ece; AbdIoǦlu, Cihat (World Scientific, 2020)

Let R be a ring (not necessarily commutative) with identity. The clean graph Cl(R) of a ring R is a graph with vertices in form (e,u), where e is an idempotent and u is a unit of R; and two distinct vertices (e,u) and (f,v) ...
(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 ...