You may see integrated amplifiers labelled as 'stereo amplifiers' or 'stereo receivers'. They are essentially the same thing, though the term receiver indicates that the amplifier has FM/AM and/or DAB radio built-in and therefore can play radio channels through connected speakers without requiring a source. An example of this is the Yamaha R-S202D.
These are less common nowadays as internet radio and DAB are often built into source components.