Part 91 General Operations
General aviation pilots will find information regarding operations of private aircraft in Part 91 of Title 14 of the Code of Federal Regulations. Private pilots can carry dangerous goods for personal use aboard their personal aircraft without being regulated, as long as they are not transporting it in commerce (i.e. furtherance of a commercial enterprise).
The 14 CFR, Section 91.1085 - Hazardous Materials Recognition Training states that no program manager may use any person to perform, and no person may perform, any assigned duties and responsibilities for the handling or carriage of hazardous materials, unless that person has received training in the recognition of hazardous materials.
14 CFR, Section 91.1085