Composition algebras over $k[t,\sqrt{at^2 +b}]$
Composition algebras over the ring $k[t,\sqrt{at^2 +b}]$ are
enumerated, and partly classified, where $k$ is a field
of characteristic not two and $a,b \in k^\times$ such that $<1,-a,-b>_k$
is anisotropic.
Appeared in Indag. Math. 9(3) (1998), 417--429
S.
Pumpluen <susanne.pumpluen@mathematik.uni-regensburg.de>