Composition of Binary Quadratic Forms Over Integral Domains.
Bill Dulin · 1969
i o n s of co m p o sitio n o f form s w ith c o e f f i c i e n t s in Z (th e r in g o f i n t e g e r s ) a re t h a t of Gauss having G aussian c o m p o sitio n .The p ro o f i s given in term s o f a domain h av in g th e p r o p e r ty t h a t f i n i t e l y g e n e ra te d p r o j e c t i v e m odules a re f r e e .We a ls o look a t domains having th e p r o p e r t y t h a t each nonzero elem ent i s c o n ta in e d in a t most a f i n i t e number o f maximal i d e a l s .v