IT may perhaps be rather an exaggerated statement, but it is none the less to a great extent true, that mathematicians tend to divide themselves into two classes, quaternionists and non quaternionists ...

We show that for each k ≥ 1 there is a division quaternion algebra D of level $s(D)=2^{k}$ such that -1 is not the sum of squares of $2^{k}$ pure quaternions in D ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...