<p>The element (81) has a sleeve-shaped base body (83) forming a through-opening (82) for a shaft. Anchoring sections (85) are projected from an outer side of the body for anchoring on a wall of a borehole. Each anchoring section has four sides, where one side forms a connection side (89) for connecting a respective anchoring section with the base body. One of the remaining sides that is located opposite to the connection side forms a cleaning side (90) of the respective anchoring section. The cleaning side has a cleaning edge for cleaning the wall during insertion of the element in the borehole. An independent claim is also included for a fastening arrangement for anchoring a fastening device with a hardenable mass.</p>