Let $I$ be an ideal of a commutative ring $R$ with identity such that if $r^n\in I$ for some $r\in R$ and $n \in \mathbb{N}$, then $r^2\in I$. Is this ideal a prime ideal of $R$? Or is this kind of ideals famous? Or is there any equivalent donation for such a property for $I $?
2026-04-05 08:11:45.1775376705
An property similar to primeness for an ideal in commutative ring
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