I want to replace a kitchen tap.
I know how to turn off my main cold water supply, but I don't know how to shut off the hot supply from the large hot water tank in the basement.
There is no valve coming out of the hot water tank.
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Although there should be a shutoff under the kitchen sink and one at the hot water heater, turning off the cold water to the entire house will effectively shut off the hot water as well since the hot water heater is fed from the cold water.
I think there will be a shutoff valve under your sink for both cold and hot water. Figure out which one is for hot water and shut that off. I think there should be a valve coming out of hot water tank, consider to check that once again.