ALGEBRAS WITH AFFINE FIBERS OVER AN EXCELLENT RING

[摘要] We investigate an algebra R over an excellent ring D such that the fibre ring R x(D)k(p) is finitely generated over k(p) for every prime ideal p of D. This class of rings is studied in connection with pseudopolynomial rings, and we give a sufficient condition for R to be finitely generated over D.

[发布日期] 1990-12-06