A mechanical seal assembly, comprising a mechanical seal comprising a rotating slide ring and a stationary slide ring , defining a sealing gap at sliding surfaces which are opposite to each other, and a fluid circuit comprising a pump assembly for supplying a fluid to the mechanical seal , comprising: - exactly one drive comprising a drive shaft , - a first axial pump , which conveys the fluid in the axial direction (X-X) of the drive shaft, - a second axial pump , which conveys the fluid in the axial direction of the drive shaft and - a radial pump , which conveys the fluid in the radial direction (R) of the drive shaft, - wherein the first axial pump and the second axial pump , in flow-through direction (B) of the fluid across the pump assembly, are arranged in front of the radial pump , and - wherein the drive simultaneously drives the first axial pump , the second axial pump and the radial pump , and - further comprising a magnetic coupling comprising an input part having first permanent magnets , a fixed hollow cylinder and an output part having second permanent magnets , - wherein the first permanent magnets , in the axial direction (X-X) of the drive shaft , are offset by a distance (A) in relation to the second permanent magnets , wherein the first permanent magnets partially overlap the second permanent magnets in the radial direction (R), - wherein the first axial pump conveys the fluid in a first axial direction (X1) and the second axial pump conveys the fluid in a second axial direction (X2), which is opposite to the first axial direction (X1), - wherein the first axial pump and the second axial pump are formed as conveying thread pumps, and - wherein the output part comprises a first radial bearing and a second radial bearing and - wherein the pump assembly comprising exactly one axial bearing for axially supporting the output part . - exactly one drive comprising a drive shaft , - a first axial pump , which conveys the fluid in the axial direction (X-X) of the drive shaft, - a second axial pump , which conveys the fluid in the axial direction of the drive shaft and - a radial pump , which conveys the fluid in the radial direction (R) of the drive shaft, - wherein the first axial pump and the second axial pump , in flow-through direction (B) of the fluid across the pump assembly, are arranged in front of the radial pump , and - wherein the drive simultaneously drives the first axial pump , the second axial pump and the radial pump , and - further comprising a magnetic coupling comprising an input part having first permanent magnets , a fixed hollow cylinder and an output part having second permanent magnets , - wherein the first permanent magnets , in the axial direction (X-X) of the drive shaft , are offset by a distance (A) in relation to the second permanent magnets , wherein the first permanent magnets partially overlap the second permanent magnets in the radial direction (R), - wherein the first axial pump conveys the fluid in a first axial direction (X1) and the second axial pump conveys the fluid in a second axial direction (X2), which is opposite to the first axial direction (X1), - wherein the first axial pump and the second axial pump are formed as conveying thread pumps, and - wherein the output part comprises a first radial bearing and a second radial bearing and - wherein the pump assembly comprising exactly one axial bearing for axially supporting the output part . <EOS>