Connection device and item of furniture or domestic appliance

A device for connecting a movable sliding element of an item of furniture to a guide rail of a guide system of the item of furniture, or for connecting a movable sliding element of a domestic appliance, to a guide rail of a guide system of the domestic appliance, wherein the device has adjustment means, wherein the adjustment means comprise latching means, an operating element, and a height adjustment element, wherein the latching means have latching teeth and a latching member, wherein the latching teeth are disposed along a shell face, wherein the latching member is connected to the operating element, wherein the latching member latches with the latching teeth, wherein the height adjustment element is configured in the manner of a disk, wherein the height adjustment element is present so as to be pivotable, in particular rotatable, on the device, wherein the operating element is connected to the height adjustment element, and wherein the device in the disposed state connects the sliding element to the guide rail in such a manner that a positional modification of the height adjustment element causes a positional modification of the sliding element relative to the guide system, in particular a spatial modification of the sliding element relative to the guide rail.