A multi-channel coil array for use as a transceiver in magnetic resonance imaging (MRI) has a plurality of radio frequency (RF) coils disposed next to one another, devices for electromagnetically decoupling the RF coils and coil elements which are applied onto a planar carrier element (5). The carrier elements (5) have a regular, equilateral polygonal outer contour and the shape of the individual coils (2) corresponds to the outer contour of the carrier element (5). An individual coil (2) has a loop-shaped structure (1), which leads to a decoupling of individual coils (2) not immediately adjacent to each other when a plurality of individual elements are arranged. The space requirement for adding new coils is reduced, and the modular design makes it possible to easily implement any three-dimensional or two-dimensional shape.