On the dimension of noncommutative affine algebras
Abstract
Let $R$ be a finitely generated prime $PI$ -algebra over a field $F$ . $Z$ is the center of its ring of fractions. It is proved that $Z$ is the field of fractions of the center of $R$ and that the transcendence degree of $Z$ over $F$ is equal to the maximal length of a chain of prime ideals in $R$ .
Submission history
[v1] 1973