A differential amplifier has an inverting and a non-inverting input. That's why it's neither called inverting or non-inverting but differential amplifier...
I see. Thanks for the insights. The thing is that I read somewhere, another subject, that a type of compensation is suitable when we have a non-inverting amplifier followed by an inverting amplifier and then another non-inverting amplifier. So I got caught thinking what a hell could be a non-inverting amplifier. A CS amplifier a pure inverting amplifier, a CG amplifier is a pure non-inverting amplifier. Besides a CG what else could be considered a non-inverting amplifier. Hence the question.