ON THE STRUCTURE OF NOETHERIAN SYMBOLIC REES-ALGEBRAS

Let A be a Noetherian local ring and I an ideal of A. In this paper we use a slightly generalized notion of a symbolic power I(n) of I and consider R = {Mathematical expression}. First we characterize the property of R to be Noetherian by an equimultiplicity condition of some symbolic power I(k). The main purpose of this note is to explore the problem when R, R′ = {Mathematical expression} and {Mathematical expression} are Cohen-Macaulay or Gorenstein algebras in the case that A is a normal domain and ht I=1. © 1990 Springer-Verlag.