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...
Main Authors: | , |
---|---|
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 |