Some disciplines try to study and classify their basic building blocks motivated by a vague belief that the more complex structures could then be understood simply from knowing how the fundamental building blocks are combined to form the whole structur In physics they are the elementary particles, in biology, the innei most workings of a single cell; in group theory, the simple groups. In ring theory, division rings would have to be counted as one of the basic building blocks. From this point of view the constructic of a new division ring is an event which rivals in significance the discovery of a new elementary particle...