NAGATA TRANSFORMS AND LOCALIZING SYSTEMS.

The main purpose of this paper is to undertake a more indepth study of the link between Nagata ideal transforms and the rings of fractions with respect to localizing systems. The principal result obtained here is a characterization of when the Nagata ideal transform T(I) of an ideal I of an integral domain R is a ring of fractions of R with respect to a localizing system; in this case, we also give a description of the localizing system F of R such that T(I) = R[sub F]. [ABSTRACT FROM AUTHOR]