Semi r-ideals of commutative rings

For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals. A proper ideal I of a commutative ring R is called semi r-ideal if whenever a2 ∈ I and AnnR(a) = 0, then a ∈ I. Several properties and cha...

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Bibliographic Details
Main Authors: Khashan Hani A., Celikel Ece Yetkin
Format: Article
Language:English
Published: Sciendo 2023-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2023-0022