No, stove top burners should not be washed in a dishwasher. Stove top burners are typically made of materials that are not dishwasher-safe, and exposing them to the high temperatures and harsh detergents in a dishwasher can cause damage.
Most stove top burners are made of metal or have metal components, which can corrode or rust when exposed to the dishwasher's water and detergents. Additionally, some burners may have electric elements or other sensitive parts that can be damaged by dishwasher cycles.
To clean stove top burners, it's best to follow the manufacturer's instructions. Usually, they can be cleaned with a mixture of warm soapy water and a soft cloth or sponge. For stubborn stains or grease buildup, you can use a non-abrasive cleaner or a solution of baking soda and water. After cleaning, make sure to dry the burners thoroughly before reassembling and using them.
Always consult the appliance's manual for specific cleaning and maintenance instructions to ensure the longevity of your stove top burners and to avoid any potential damage.