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Ideals that are an irredundant union of principal ideals, II
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Ideals that are an irredundant union of principal ideals, II

D.D. Anderson and S. Chun
Houston Journal of Mathematics, Vol.43(1), pp.15-29
2017

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Abstract

We investigate ideals of a commutative ring that are an irredundant union of principal ideals. We show that in an atomic ring every prime ideal is an irredundant union of principal ideals, but give an example of a non-atomic ring in which every prime ideal is an irredundant union of principal ideals. Special attention is paid to prime ideals that are a finite union of principal ideals. © 2017 University of Houston.
ACCP Atomic ring CK ring Irreducible element Irredundant union of principal ideals Weak CK ring

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