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ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
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 Title & Authors
ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
Badawi, Ayman; Tekir, Unsal; Yetkin, Ece;
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 Abstract
Let R be a commutative ring with . In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is called a weakly 2-absorbing primary ideal of R if whenever a, b, and , then or or . A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given.
 Keywords
primary ideal;weakly primary ideal;prime ideal;weakly prime ideal;2-absorbing ideal;n-absorbing ideal;weakly 2-absorbing ideal;2-absorbing primary ideal;weakly 2-absorbing primary ideal;
 Language
English
 Cited by
1.
ON 𝜙-n-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS, Journal of the Korean Mathematical Society, 2016, 53, 3, 549  crossref(new windwow)
2.
On n-absorbing submodules of modules over commutative rings, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016, 57, 3, 679  crossref(new windwow)
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