The main tool in studying the structure of division algebras, or more generally, of central simple algebras (c.s.as) over a field ℭ are the extensions of ℭ that split the algebras. A field 𝔉⊇ℭ is said to split a c.s.a. 𝔄 if 𝔄⊗𝔉 is a total matrix ring over 𝔉. The present study is devoted to the study of the set of all splitting fields of a given c.s.a. 𝔄.

From another point of view, it was a place without a soul. The well-to-do had hearts of stone; the rich were brutally bumptious; the Press, the Municipality, all the public men, were ridiculously, vaingloriously self-satisfied.

When he had religion he used to be always hammerin' up seats and summer-houses and things out of bits of twisty wood. Mad over that, he was.

A plague vpon the Tyrant that I serue