Hysterectomy includes falloppian tubes?

Igros Moshe (CM II #73.7)Question: If a woman needs a hysterectomy is it permitted to remove the ovaries and fallopian tubes also because of concern for cancer. Is this considered sterization? Answer. After a women has the uterus removed she can no longer be sterilized. Therefore there is no prohibition to remove the ovaries and tubes. It might not even be required to ask her since it is for her benefit however it is best to ask her and her husband.and frum doctors.