Possible Duplicate:
Comaximal ideals in a commutative ring
Let $I$ and $J$ are coprime ideals in commutative unit ring $A$. Is it true that $I^m$ and $J^n$ are also coprime for any $m,n\in\mathbb{N}$?
Thanks a lot!
Possible Duplicate:
Comaximal ideals in a commutative ring
Let $I$ and $J$ are coprime ideals in commutative unit ring $A$. Is it true that $I^m$ and $J^n$ are also coprime for any $m,n\in\mathbb{N}$?
Thanks a lot!