An oven, especially a domestic oven, can comprise a cooking cavity and at least two carrier structures arranged at each side of the cavity respectively for holding an auxiliary element for cooking food, wherein each carrier structure comprises at least one column extending in a vertical direction (V) within the cavity, and at least one holding element for holding the auxiliary element. The holding element is moveable along at least a sliding range of the column or columns in the vertical direction (V) in a sliding movement, so that the holding element is adjustable in its vertical (V) height within the cavity. And, the columns and the corresponding holding elements comprise corresponding guiding surfaces each extending in the vertical direction (V) and are in contact with each other during the sliding movement so that, during the sliding movement, the holding element is guided by the column or columns.