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On Weakly S-Primary Ideals of Commutative Rings
[post]
2021
unpublished
Let R be a commutative ring with identity and S be a multiplicatively closed subset of R. The purpose of this paper is to introduce the concept of weakly S-primary ideals as a new generalization of weakly primary ideals. An ideal I of R disjoint with S is called a weakly S-primary ideal if there exists s∈S such that whenever 0≠ab∈I for a,b∈R, then sa∈√I or sb∈I. The relationships among S-prime, S-primary, weakly S-primary and S-n-ideals are investigated. For an
doi:10.20944/preprints202109.0486.v1
fatcat:wpftpf7c2rgzjbfrsorihx4x4e