NOVELTY - The thermoelectric module comprises a set of annular thermoelectric elements (3) for generating an electric current under the action of a temperature gradient exerted between a first face (4a) and a second face of one of the elements. The first face is defined by an outer peripheral surface. The second face is defined by an inner peripheral surface. The module is configured to establish a heat exchange between the first face and a first fluid and to establish a heat exchange between the second face and a second fluid such that the fluids circulate transversely relative to one another.    USE - The thermoelectric module is useful in a thermoelectric device that is useful in an exhaust conduit of a motor vehicle (all claimed).    ADVANTAGE - The thermoelectric module is cost-effective.    DETAILED DESCRIPTION - The thermoelectric module comprises a set of annular thermoelectric elements (3) for generating an electric current under the action of a temperature gradient exerted between a first face (4a) and a second face of one of the thermoelectric elements. The first face is defined by an outer peripheral surface. The second face is defined by an inner peripheral surface. The module is configured to establish a heat exchange between the first face and a first fluid and to establish a heat exchange between the second face and a second fluid such that the first fluid and the second fluid circulate transversely relative to one another. A cylinder formed by the thermoelectric elements is tapered in a direction of flow of the first fluid so that it offers less resistance to the first fluid. The thermoelectric elements are of two different types, where two of the thermoelectric elements are of same type in a direction of longitudinal extension of the module with a thermoelectric element of the other type. The module further comprises: a secondary heat exchange surface (9) with the first fluid; a first unit for electrically connecting the first faces of the thermoelectric elements; a second unit for establishing an electrical connection between the second faces of the thermoelectric elements not connected by the first electrical connection unit; an electrical insulation unit disposed between the two thermoelectric elements; and a channel (7) for circulation of the second fluid in contact with the second faces of the thermoelectric elements. The secondary heat exchange surface is fixed to the first electrical connection unit. The secondary heat exchange surface comprises blades (104) and a catalytic coating for a catalytic conversion of toxic components in the first fluid. The electrical insulation unit is configured for electrical insulation to electrically insulate each of the side faces of the thermoelectric elements connected by the first and/or second units for electrical connection and/or to electrically insulate them from the secondary heat exchange surfaces linked to two of the thermoelectric elements connected by the second unit for electrical connection. The channel extends along an eccentric axis relative to a central axis of the cylinder. The eccentric axis of the channel lies in a plane defined by the central axis of the cylinder and the direction of flow of the first fluid. An INDEPENDENT CLAIM is included for a thermoelectric device.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic perspective view of a thermoelectric module.    Annular thermoelectric elements (3)    First face (4a)    Channel (7)    Secondary heat exchange surface (9)    Blades. (104)