Some embodiments include a floating body transistor which has a gate structure configured as a bracket having two upwardly-projecting sidewalls joined to a base. A region between the upwardly-projecting sidewalls is an interior region of the bracket. The interior region of the bracket has an interior surface along an upper surface of the base, and along inward surfaces of the upwardly-projecting sidewalls. The sidewalls are a first sidewall and a second sidewall. The first and second sidewalls have first and second notches, respectively, which extend downwardly into the first and second sidewalls. The first and second notches are horizontally aligned with one another. Dielectric material lines the interior surface of the bracket. A semiconductor material body is within the interior region of the bracket and along the dielectric material. The semiconductor material body has a third notch which is horizontally aligned with the first and second notches.