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The radical of an $$n$$-absorbing ideal. (English) Zbl 1440.13009
Summary: 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 $$(\sqrt{I})^n \subseteq I$$.

MSC:
 13A15 Ideals and multiplicative ideal theory in commutative rings
Full Text:
References:
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