On a problem of Fossum
Tetsushi Ogoma · Proceedings of the Japan Academy Series A Mathematical Sciences · 1974
proposes the following problem in his book "The divisor class group of a Krull domain" "*)Problem.Let k be a field of characteristic not equal to 2, and F(X, X2, X3, X) a non-degenerate quadratic form over k.Find a neces- sary and sufficient condition in order that A--K[X, X2, X, Xt] / (F) may be a factorial ring.The purpose of the present note is to give the answer of the pro- blem.In this note, we employ the same terminology and notation as of [F].