Nonnoetherian coordinate rings with unique maximal depictions
Abstract
A depiction of a nonnoetherian integral domain R is a special coordinate ring that provides a framework for describing the geometry of R. We show that if R is noetherian in codimension 1, then R has a unique maximal depiction T. In this case, the geometric dimensions of the points of SpecR may be computed directly from T. If in addition R has a normal depiction S, then S is the unique maximal depiction of R.
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