formula for factorial ANOVA interaction effect

Good day. I have a question regarding the formula for calculating interaction effects. In Andy Field book he gives: SSa×b = SSmodel − SSa − SSb, where a and b are the different factors in our model.

What happens when we have 3 or more factors? Is this then: SSa×b×c = SSmodel - SSa - SSb - SSc ...... and so on for as many factors as we have?