Let $D$ be a Dedekind domain. Let $A,B,C$ be ideals of $D$ with $A\neq 0$ and $AB=AC$. Prove that $B=C$.
I know that every fractional ideal is invertible here but what will happen with any ideal in general!
Let $D$ be a Dedekind domain. Let $A,B,C$ be ideals of $D$ with $A\neq 0$ and $AB=AC$. Prove that $B=C$.
I know that every fractional ideal is invertible here but what will happen with any ideal in general!
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