Most traditional farmhouse sinks are designed to be installed under-mount with custom-made or specially ordered farmhouse kitchen base cabinets. The cabinet will have a support structure built in so it can support the heavy sink. If you are looking for a farmhouse-style sink with shorter apron heights that can be installed in standard kitchen cabinets, we have retro-fit farmhouse sink options you can peruse. Here is a link to our Retrofit Farmhouse Sinks that you might be interested in. We have under-mount and top-mount options available.
Self-trimming is a specific term used by Kohler. Self-trimming sinks are comparable to what we refer to as a retrofit farmhouse sink. Like the retrofit installation, the self-trimming apron overlaps the cabinet face for quick installation and stunning results. The self-trimming design necessitates only a rough cut that overlaps the cabinet face.
You may also find the 'Can I install a farmhouse sink in existing standard kitchen cabinets' article regarding retrofit sinks useful.