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A theorem of Briançon-Skoda type for regular local rings containing a field |
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| Authors: | Ian M. Aberbach Craig Huneke |
| Affiliation: | Department of Mathematics, University of Missouri, Columbia, Missouri 65211 ; Department of Mathematics, Purdue University, W. Lafayette, Indiana 47907 |
| Abstract: | Let  be a regular local ring containing a field. We give a refinement of the Briançon-Skoda theorem showing that if  is a minimal reduction of  where  is  -primary, then  where  and  is the largest ideal such that  . The proof uses tight closure in characteristic  and reduction to characteristic  for rings containing the rationals. |
| Keywords: | Briancon-Skoda theorems integral closure tight closure |
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