On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2

This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ2 ∈ I. The introduced notion is related to uniformly primary ideals introduced in [5]....

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Bibliographic Details
Main Authors: Alhazmy Khaled, Almahdi Fuad Ali Ahmed, Bouba El Mehdi, Tamekkante Mohammed
Format: Article
Language:English
Published: Sciendo 2023-01-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2023-0001