Which FAR regulation pertains to the prohibition of careless and reckless operations?

FAR 91.13 specifically addresses the prohibition of careless or reckless operations of aircraft. This regulation emphasizes that no person may operate an aircraft in a manner that is careless or reckless so as to endanger the life or property of another. This is crucial for maintaining safety in aviation operations, and adherence to this regulation is vital for all pilots and operators to ensure safety in the airspace.

The other options pertain to different aspects of aviation regulations. FAR 135 covers operating rules for commuter and on-demand operations, FAR 23 deals with airworthiness standards for airplanes, and FAR 145 relates to repair stations. None of these regulations address the issue of careless or reckless operations, which is why FAR 91.13 is the correct choice in this context.