The cooking vessel (50) has a bottom (56) and rotary blade driving means (32) inside a vessel wall (51), and is suitable for working on a support plate (2) of a cooking hob (1) having rotary blade driving means (32) to rotate a lower magnetic coupling member (5). The vessel includes an upper magnetic coupling member (54) connected to the blades (53) and arranged close to an upper surface of said support plate (2) when the vessel (50) is on the plate. The vessel comprises a support element (55) below said bottom (56) of the vessel (51) for resting on the support plate (2), said support element (55) having a coefficient of friction with respect to the support plate (2) low enough to allow the sliding and self-centering of the cooking vessel (50) due to the effect of said lower magnetic coupling member (5).