Kaplin,
When you state "ASME SA106" instead of "carbon steel" you are being more specific.......you are specifying a high-quality grade of seamless carbon steel. Other grades of carbon steel pipe, such as SA53 - Grade B and others could be substituted
(By the way, you should specify the grade of SA106 that you want......SA106 Grade "B" is in most common usage)
By "pipe schedule" make sure that there is no misunderstanding about what you mean...... to me, pipe schedule means wall thickness ( i.e. schedule 40 or 80 etc)
The words "line specification" or "line class"are commonly used to specify all of the materials and pressure ratings used in a particular piping system.
My thoughts only.....hope that this helps
MJC