Let $R$ be a Noetherian domain and $M$ and $N$ be two faithful $R$-modules. Is it true that $\operatorname{Ann}_R(M\otimes_R N)=0$?
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Corrected the math symbols and put them in proper TeX format.
Mahdi Majidi-Zolbanin
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Annihilator of tensor product when $R$ is domain
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