There is no hot water going into the faucet in my kitchen but my dishwasher and all other faucets have hot water.

You have some crud blocking the inlet ports of the cartridge. Most likely caused by mineral build up in the water heater. Shut the water off to the faucet and open it up to remove the cartridge, Check and clean the inlet ports. Before you button up, turn the hot water back on to flush out the supply. I advise flushing your water heater on a regular basis. Let me show you how. For long life and fewer troubles you should keep your heater clear of mineral build-up by flushing on a regular schedule. Attach a hose to the boiler drain at the bottom of the tank. With the pressure on, open the boiler drain and let it run until the water runs clear. You will see a spurt of red,(rust) followed by white grains,(lime or calcium carbonate). This shouldn't take more then a few minutes. Do this monthly to keep it clear. Now flush out your hot water lines on ALL fixtures that are affected. Now pull each aerator and clean the screens. Be sure you put them back togather the same way you took them out. Don't forget to flush it out every month. Your heater will thank you for it. Hope this helps, Tom