Let $I$ be an ideal of a commutative ring $R$ with $1$ such that $\sqrt{I}=I_1\cdots I_n$ where $I_i's$ are pairwise comaximal ideal of $R$. Are there ideals $J_1,...,J_n$ of $R$ such that $V(I_i)=V(J_i)$ for each $i=1,...n$ and $I=I_1\cdots I_n$, where $V(A):=\{P\in Spec(R): A\subseteq P\}$ for every $A\subseteq R$. (If this statment is not true in general under what conditions it is true?)

Let $I$ be an ideal of a commutative ring $R$ with $1$ such that $\sqrt{I}=I_1\cdots I_n$ where $I_i's$ are pairwise comaximal ideal of $R$. Are there ideals $J_1,...,J_n$ of $R$ such that $V(I_i)=V(J_i)$ for each $i=1,...n$ and $I=J_1\cdots J_n$, where $V(A):=\{P\in Spec(R): A\subseteq P\}$ for every $A\subseteq R$. (If this statment is not true in general under what conditions it is true?)

Let $I$ be an ideal of a commutative ring $R$ with $1$ such that $\sqrt{I}=I_1\cdots I_n$ where $I_i's$ are pairwise comaximal ideal of $R$. How can we construct ideals $J_1,...,J_n$ of $R$ such that $V(I_i)=V(J_i)$ for each $i=1,...n$ and $I=I_1\cdots I_n$, where $V(A):=\{P\in Spec(R): A\subseteq P\}$ for every $A\subseteq R$. (If this statment is not true in general under what conditions it is true?)

Let $I$ be an ideal of a commutative ring $R$ with $1$ such that $\sqrt{I}=I_1\cdots I_n$ where $I_i's$ are pairwise comaximal ideal of $R$. Are there ideals $J_1,...,J_n$ of $R$ such that $V(I_i)=V(J_i)$ for each $i=1,...n$ and $I=I_1\cdots I_n$, where $V(A):=\{P\in Spec(R): A\subseteq P\}$ for every $A\subseteq R$. (If this statment is not true in general under what conditions it is true?)