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arxiv: 1610.10077 · v1 · pith:663FOJ5Znew · submitted 2016-10-31 · 🧮 math.AC

The radical of an n-absorbing ideal

classification 🧮 math.AC
keywords idealabsorbingcommutativen-absorbingnoteradicalringsqrt
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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 $(\sqrt{I})^{n} \subseteq I$.

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