Nebraska Cooperative Fish and Wildlife Research Unit

 

Date of this Version

Spring 2007

Citation

2007 University of Illinois

Comments

Illinois Journal of Mathematics Volume 51, Number 1, Spring 2007, Pages 123–136 S 0019-2082

Abstract

We consider injective local maps from a local domain R to a local domain S such that the generic fiber of the inclusion map R -> S is trivial, that is P R (0) for every nonzero prime ideal P of S. We present several examples of injective local maps involving power series that have or fail to have this property. For an extension R -> S having this property, we give some results on the dimension of S; in some cases we show dim S = 2 and in some cases dim S = 1.

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