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Weakly prime ideals in commutative semigroups
Journal article   Open access  Peer reviewed

Weakly prime ideals in commutative semigroups

D.D. Anderson, S. Chun and J.R. Juett
Bulletin of the Korean Mathematical Society, Vol.56(4), pp.829-839
2019
DOI: 10.4134/BKMS.b180635
url
https://doi.org/10.4134/BKMS.b180635View
Published (Version of record) Open Access

Abstract

Let S be a commutative semigroup with 0 and 1. A proper ideal P of S is weakly prime if for a, b ∈ S, 0 ≠ ab ∈ P implies a ∈ P or b ∈ P. We investigate weakly prime ideals and related ideals of S. We also relate weakly prime principal ideals to unique factorization in commutative semigroups. © 2019 Korean Mathematical Society.
Commutative semigroup Prime ideal Weakly prime ideal

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