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A property of weakly Krull domains |
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| Authors: | D. D. Anderson Muhammad Zafrullah |
| Affiliation: | Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 ; Department of Mathematics, Idaho State University, Pocatello, Idaho 83209-8085 |
| Abstract: | We show that a weakly Krull domain  satisfies  : for every pair  there is an  such that  is  -invertible. For  Noetherian,  satisfies  if and only if every grade-one prime ideal of  is of height one. We also show that a modification of  can be used to characterize Noetherian domains that are one-dimensional. |
| Keywords: | Weakly Krull |
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