The radical of an n-absorbing ideal

2016/10/31 by Choi, Hyun Seung, Walker, Andrew
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.10077

Abstract

In this note we show that in a commutative ring R with unity, for any n > 0, if I is an n-absorbing ideal of R, then (√(I))ⁿ ⊆ I.

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